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Linear Operators And Operator Equations
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Book Synopsis Linear Operator Equations: Approximation And Regularization by : M Thamban Nair
Download or read book Linear Operator Equations: Approximation And Regularization written by M Thamban Nair and published by World Scientific. This book was released on 2009-05-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be.This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Book Synopsis Analysis as a Tool in Mathematical Physics by : Pavel Kurasov
Download or read book Analysis as a Tool in Mathematical Physics written by Pavel Kurasov and published by Springer Nature. This book was released on 2020-07-14 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.
Book Synopsis Perturbation theory for linear operators by : Tosio Kato
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy
Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.
Book Synopsis Traces and Determinants of Linear Operators by : Israel Gohberg
Download or read book Traces and Determinants of Linear Operators written by Israel Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.
Book Synopsis Linear Operators and Operator Equations by : V. I. Smirnov
Download or read book Linear Operators and Operator Equations written by V. I. Smirnov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Unbounded Linear Operators by : Seymour Goldberg
Download or read book Unbounded Linear Operators written by Seymour Goldberg and published by Courier Corporation. This book was released on 2006-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a systematic treatment of the theory of unbounded linear operators in normed linear spaces with applications to differential equations. Largely self-contained, it is suitable for advanced undergraduates and graduate students, and it only requires a familiarity with metric spaces and real variable theory. After introducing the elementary theory of normed linear spaces--particularly Hilbert space, which is used throughout the book--the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed. Other topics include strictly singular operators; operators with closed range; perturbation theory, including some of the main theorems that are later applied to ordinary differential operators; and the Dirichlet operator, in which the author outlines the interplay between functional analysis and "hard" classical analysis in the study of elliptic partial differential equations. In addition to its readable style, this book's appeal includes numerous examples and motivations for certain definitions and proofs. Moreover, it employs simple notation, eliminating the need to refer to a list of symbols.
Book Synopsis Linear Operators for Quantum Mechanics by : Thomas F. Jordan
Download or read book Linear Operators for Quantum Mechanics written by Thomas F. Jordan and published by Courier Corporation. This book was released on 2012-09-20 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
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.
Book Synopsis Dynamics of Linear Operators by : Frédéric Bayart
Download or read book Dynamics of Linear Operators written by Frédéric Bayart and published by Cambridge University Press. This book was released on 2009-06-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Book Synopsis Linear Operators and Linear Systems by : Jonathan R. Partington
Download or read book Linear Operators and Linear Systems written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 2004-03-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Linear Operators in Hilbert Spaces by : Joachim Weidmann
Download or read book Linear Operators in Hilbert Spaces written by Joachim Weidmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.
Author :Nikolai Karapetiants Publisher :Springer Science & Business Media ISBN 13 :9780817641573 Total Pages :456 pages Book Rating :4.6/5 (415 download)
Book Synopsis Equations with Involutive Operators by : Nikolai Karapetiants
Download or read book Equations with Involutive Operators written by Nikolai Karapetiants and published by Springer Science & Business Media. This book was released on 2001-06-21 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, bibliography and index make this text a valuable classroom or reference resource.
Book Synopsis Theory of Linear Operations by : S. Banach
Download or read book Theory of Linear Operations written by S. Banach and published by Elsevier. This book was released on 1987-03-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.
Book Synopsis Semigroups of Linear Operators by : David Applebaum
Download or read book Semigroups of Linear Operators written by David Applebaum and published by Cambridge University Press. This book was released on 2019-08-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a graduate-level introduction to the theory of semigroups of operators.
Book Synopsis Linear Operator Theory in Engineering and Science by : Arch W. Naylor
Download or read book Linear Operator Theory in Engineering and Science written by Arch W. Naylor and published by Springer Science & Business Media. This book was released on 1982 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.