Operator Functions and Localization of Spectra

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Publisher :
ISBN 13 : 9783662184363
Total Pages : 276 pages
Book Rating : 4.1/5 (843 download)

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Book Synopsis Operator Functions and Localization of Spectra by : Michael I. Gil

Download or read book Operator Functions and Localization of Spectra written by Michael I. Gil and published by . This book was released on 2014-01-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Functions and Localization of Spectra

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Operator Functions and Localization of Spectra by : Michael I. Gil

Download or read book Operator Functions and Localization of Spectra written by Michael I. Gil and published by Springer Science & Business Media. This book was released on 2003-11-17 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Operator Functions and Localization of Spectra

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Publisher : Springer
ISBN 13 : 3540452257
Total Pages : 261 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Operator Functions and Localization of Spectra by : Michael I. Gil

Download or read book Operator Functions and Localization of Spectra written by Michael I. Gil and published by Springer. This book was released on 2003-12-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Random Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419130
Total Pages : 343 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Random Operators by : Michael Aizenman

Download or read book Random Operators written by Michael Aizenman and published by American Mathematical Soc.. This book was released on 2015-12-11 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics of self-adjoint operators through Anderson localization--presented here via the fractional moment method, up to recent results on resonant delocalization. The subject's multifaceted presentation is organized into seventeen chapters, each focused on either a specific mathematical topic or on a demonstration of the theory's relevance to physics, e.g., its implications for the quantum Hall effect. The mathematical chapters include general relations of quantum spectra and dynamics, ergodicity and its implications, methods for establishing spectral and dynamical localization regimes, applications and properties of the Green function, its relation to the eigenfunction correlator, fractional moments of Herglotz-Pick functions, the phase diagram for tree graph operators, resonant delocalization, the spectral statistics conjecture, and related results. The text incorporates notes from courses that were presented at the authors' respective institutions and attended by graduate students and postdoctoral researchers.

Linear Operators and their Spectra

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Publisher : Cambridge University Press
ISBN 13 : 1139464337
Total Pages : 436 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Linear Operators and their Spectra by : E. Brian Davies

Download or read book Linear Operators and their Spectra written by E. Brian Davies and published by Cambridge University Press. This book was released on 2007-04-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

Spectra of Localization Operators on Groups

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis Spectra of Localization Operators on Groups by :

Download or read book Spectra of Localization Operators on Groups written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Generalized Spectral Operators

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Publisher : CRC Press
ISBN 13 : 9780677014807
Total Pages : 254 pages
Book Rating : 4.0/5 (148 download)

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Book Synopsis Theory of Generalized Spectral Operators by : Ion Colojoara

Download or read book Theory of Generalized Spectral Operators written by Ion Colojoara and published by CRC Press. This book was released on 1968 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540242000
Total Pages : 228 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians by : Francis Nier

Download or read book Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians written by Francis Nier and published by Springer Science & Business Media. This book was released on 2005-02-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.

Operator Functions and Localization of Spectra

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Publisher : Springer
ISBN 13 : 9783540202462
Total Pages : 262 pages
Book Rating : 4.2/5 (24 download)

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Book Synopsis Operator Functions and Localization of Spectra by : Michael I. Gil

Download or read book Operator Functions and Localization of Spectra written by Michael I. Gil and published by Springer. This book was released on 2003-11-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

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Publisher :
ISBN 13 : 9783319175676
Total Pages : pages
Book Rating : 4.1/5 (756 download)

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Book Synopsis Spectral Theory and Applications of Linear Operators and Block Operator Matrices by : Aref Jeribi

Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially compact operators.

Mathematical Analysis in Interdisciplinary Research

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Publisher : Springer Nature
ISBN 13 : 3030847217
Total Pages : 1050 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Analysis in Interdisciplinary Research by : Ioannis N. Parasidis

Download or read book Mathematical Analysis in Interdisciplinary Research written by Ioannis N. Parasidis and published by Springer Nature. This book was released on 2022-03-10 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.

Spectral Theory of Schrodinger Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832972
Total Pages : 264 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Spectral Theory of Schrodinger Operators by : Rafael del Río

Download or read book Spectral Theory of Schrodinger Operators written by Rafael del Río and published by American Mathematical Soc.. This book was released on 2004 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrodinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrodinger operators, and scattering theory for Schrodinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrodinger operators.

Differential and Integral Inequalities

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Publisher : Springer Nature
ISBN 13 : 3030274071
Total Pages : 848 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Differential and Integral Inequalities by : Dorin Andrica

Download or read book Differential and Integral Inequalities written by Dorin Andrica and published by Springer Nature. This book was released on 2019-11-14 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Contributions in Mathematics and Engineering

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Publisher : Springer
ISBN 13 : 3319313177
Total Pages : 754 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Contributions in Mathematics and Engineering by : Panos M. Pardalos

Download or read book Contributions in Mathematics and Engineering written by Panos M. Pardalos and published by Springer. This book was released on 2016-10-04 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. ​ Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.

Exploring Mathematical Analysis, Approximation Theory, and Optimization

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Publisher : Springer Nature
ISBN 13 : 3031464877
Total Pages : 474 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Exploring Mathematical Analysis, Approximation Theory, and Optimization by : Nicholas J. Daras

Download or read book Exploring Mathematical Analysis, Approximation Theory, and Optimization written by Nicholas J. Daras and published by Springer Nature. This book was released on 2024-01-04 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education. Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages. It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.

Fredholm and Local Spectral Theory, with Applications to Multipliers

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Publisher : Springer Science & Business Media
ISBN 13 : 1402025254
Total Pages : 452 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fredholm and Local Spectral Theory, with Applications to Multipliers by : Pietro Aiena

Download or read book Fredholm and Local Spectral Theory, with Applications to Multipliers written by Pietro Aiena and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

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Publisher : Springer
ISBN 13 : 3319175661
Total Pages : 608 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Spectral Theory and Applications of Linear Operators and Block Operator Matrices by : Aref Jeribi

Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi and published by Springer. This book was released on 2015-07-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.