Introduction To The Theory Of Linear Nonselfadjoint Operators In Hilbert Space
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Introduction To The Theory Of Linear Nonselfadjoint Operators
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Author : Israel Gohberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Introduction To The Theory Of Linear Nonselfadjoint Operators written by Israel Gohberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Introduction To The Theory Of Linear Nonselfadjoint Operators
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Author : Israel Gohberg
language : en
Publisher:
Release Date : 1969
Introduction To The Theory Of Linear Nonselfadjoint Operators written by Israel Gohberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Hilbert space categories.
Harmonic Analysis Of Operators On Hilbert Space
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Author : Béla Sz Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-01
Harmonic Analysis Of Operators On Hilbert Space written by Béla Sz Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Mathematics categories.
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
Introduction To The Theory Of Linear Nonselfadjoint Operators
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Author : Israel Gohberg
language : en
Publisher:
Release Date :
Introduction To The Theory Of Linear Nonselfadjoint Operators written by Israel Gohberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Linear operators categories.
Introduction To The Theory Of Linear Nonselfadjoint Operators In Hilbert Space
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Author : I. C. Gohberg
language : en
Publisher:
Release Date : 1969
Introduction To The Theory Of Linear Nonselfadjoint Operators In Hilbert Space written by I. C. Gohberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Hilbert space categories.
An Introduction To Hankel Operators
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Author : Jonathan R. Partington
language : en
Publisher: Cambridge University Press
Release Date : 1988
An Introduction To Hankel Operators written by Jonathan R. Partington and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Non Selfadjoint Operators In Quantum Physics
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Author : Fabio Bagarello
language : en
Publisher: John Wiley & Sons
Release Date : 2015-07-20
Non Selfadjoint Operators In Quantum Physics written by Fabio Bagarello and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Science categories.
A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features: Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.
Unbounded Self Adjoint Operators On Hilbert Space
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Author : Konrad Schmüdgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-09
Unbounded Self Adjoint Operators On Hilbert Space written by Konrad Schmüdgen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-09 with Mathematics categories.
The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension
Spectral Theory Of Functions And Operators
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Spectral Theory Of Functions And Operators written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
An Introduction To Operator Polynomials
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
An Introduction To Operator Polynomials written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
This book provides an introduction to the modern theory of polynomials whose coefficients are linear bounded operators in a Banach space - operator polynomials. This theory has its roots and applications in partial differential equations, mechanics and linear systems, as well as in modern operator theory and linear algebra. Over the last decade, new advances have been made in the theory of operator polynomials based on the spectral approach. The author, along with other mathematicians, participated in this development, and many of the recent results are reflected in this monograph. It is a pleasure to acknowledge help given to me by many mathematicians. First I would like to thank my teacher and colleague, I. Gohberg, whose guidance has been invaluable. Throughout many years, I have worked wtih several mathematicians on the subject of operator polynomials, and, consequently, their ideas have influenced my view of the subject; these are I. Gohberg, M. A. Kaashoek, L. Lerer, C. V. M. van der Mee, P. Lancaster, K. Clancey, M. Tismenetsky, D. A. Herrero, and A. C. M. Ran. The following mathematicians gave me advice concerning various aspects of the book: I. Gohberg, M. A. Kaashoek, A. C. M. Ran, K. Clancey, J. Rovnyak, H. Langer, P.