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Representations Of Linear Operators Between Banach Spaces
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Book Synopsis Representations of Linear Operators Between Banach Spaces by : David E. Edmunds
Download or read book Representations of Linear Operators Between Banach Spaces written by David E. Edmunds and published by Springer Science & Business Media. This book was released on 2013-09-04 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps.
Book Synopsis History of Banach Spaces and Linear Operators by : Albrecht Pietsch
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Book Synopsis Spear Operators Between Banach Spaces by : Vladimir Kadets
Download or read book Spear Operators Between Banach Spaces written by Vladimir Kadets and published by Springer. This book was released on 2018-04-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X → Y there exists a modulus-one scalar ω such that ǁ G+ωTǁ = 1 + ǁTǁ. This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L1. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.
Book Synopsis Introduction to Linear Operator Theory by : Vasile I. Istratescu
Download or read book Introduction to Linear Operator Theory written by Vasile I. Istratescu and published by CRC Press. This book was released on 2020-08-14 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the subject and is devoted to standard material on linear functional analysis, and presents some ergodic theorems for classes of operators containing the quasi-compact operators. It discusses various classes of operators connected with the numerical range.
Book Synopsis Representation Theorems on Banach Function Spaces by : Neil E. Gretsky
Download or read book Representation Theorems on Banach Function Spaces written by Neil E. Gretsky and published by American Mathematical Soc.. This book was released on 1968 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Construction of Representations of Commutation Relations by Linear Operators in Banach Spaces by : Domingos Djinja
Download or read book Construction of Representations of Commutation Relations by Linear Operators in Banach Spaces written by Domingos Djinja and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Investigations in Linear Operators and Function Theory by : Nikolaĭ Kapitonovich Nikolʹskiĭ
Download or read book Investigations in Linear Operators and Function Theory written by Nikolaĭ Kapitonovich Nikolʹskiĭ and published by . This book was released on 1972 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Representations of the Lorentz Group by : M. A. Naimark
Download or read book Linear Representations of the Lorentz Group written by M. A. Naimark and published by Elsevier. This book was released on 2014-07-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Representations of the Lorentz Group is a systematic exposition of the theory of linear representations of the proper Lorentz group and the complete Lorentz group. This book consists of four chapters. The first two chapters deal with the basic material on the three-dimensional rotation group, on the complete Lorentz group and the proper Lorentz group, as well as the theory of representations of the three-dimensional rotation group. These chapters also provide the necessary basic information from the general theory of group representations. The third chapter is devoted to the representations of the proper Lorentz group and the complete Lorentz group, while the fourth chapter examines the theory of invariant equations. This book will prove useful to mathematicians and students.
Book Synopsis Spectral Representations of Linear Operator by : Kurt Otto Friedrichs
Download or read book Spectral Representations of Linear Operator written by Kurt Otto Friedrichs and published by . This book was released on 1948 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Banach Space Operators by : S. Kantorovitz
Download or read book Spectral Theory of Banach Space Operators written by S. Kantorovitz and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Denseness, Bases and Frames in Banach Spaces and Applications by : Aref Jeribi
Download or read book Denseness, Bases and Frames in Banach Spaces and Applications written by Aref Jeribi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-03-19 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. Contents Introduction Linear operators Basic notations and results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series ν-convergence operators Γ-hypercyclic set of linear operators Analytic operators in Béla Szökefalvi-Nagy’s sense Bases of the perturbed operator T(ε) Frame of the perturbed operator T(ε) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory
Book Synopsis Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics by : Willi-hans Steeb
Download or read book Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics written by Willi-hans Steeb and published by World Scientific. This book was released on 2022-08-23 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.
Book Synopsis Banach Lattices and Positive Operators by : H.H. Schaefer
Download or read book Banach Lattices and Positive Operators written by H.H. Schaefer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Factorization of Linear Operators and Geometry of Banach Spaces by : Gilles Pisier
Download or read book Factorization of Linear Operators and Geometry of Banach Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 1986 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--T.p. verso.
Book Synopsis Infinite Matrices and Representation of Linear Operators Commuting with Shifts by : Luis Verde-Star
Download or read book Infinite Matrices and Representation of Linear Operators Commuting with Shifts written by Luis Verde-Star and published by . This book was released on 1977 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Operators in Function Spaces by : G. Arsene
Download or read book Linear Operators in Function Spaces written by G. Arsene and published by Birkhäuser. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Operator Theory conferences, organized by the Department of Mathematics of INCREST and the Department of Mathematics of the University of Timi~oara, are conceived as a means to promote cooperation and exchange of information between specialists in all areas of operator theory. This book comprises carefully selected papers on theory of linear operators and related fields. Original results of new research in fast developing areas are included. Several contributed papers focus on the action of linear operators in various function spaces. Recent advances in spectral theory and related topics, operators in indefinite metric spaces, dual algebras and the invariant subspace problem, operator algebras and group representations as well as applications to mathematical physics are presented. The research contacts of the Department of :viathematics of INCREST with the National Committee for Science and Technology of Romania provided means for developing the research activity in mathematics; they represent the generous framework of these meetings too. It is our pleasure to acknowledge the financial support of UNESCO which also contributed to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhauser Verlag was very cooperative in publishing this volume. Camelia Minculescu, Iren Nemethi and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for this exellent job.
Book Synopsis Algebraic Properties of Generalized Inverses by : Dragana S. Cvetković‐Ilić
Download or read book Algebraic Properties of Generalized Inverses written by Dragana S. Cvetković‐Ilić and published by Springer. This book was released on 2017-10-07 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.
