Linear Operators

Linear Operators

Author:

Publisher:

Published: 1976

Total Pages:

ISBN-13:

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Book Synopsis Linear Operators by :

Download or read book Linear Operators written by and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Spectral Theory of Linear Operators

Spectral Theory of Linear Operators

Author: Vladimir Müller

Publisher: Springer Science & Business Media

Published: 2007-12-24

Total Pages: 439

ISBN-13: 3764382651

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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.


Book Synopsis Spectral Theory of Linear Operators by : Vladimir Müller

Download or read book Spectral Theory of Linear Operators written by Vladimir Müller and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.


Linear Operators, Part 2

Linear Operators, Part 2

Author: Nelson Dunford

Publisher: John Wiley & Sons

Published: 1988-02-23

Total Pages: 1092

ISBN-13: 0471608475

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This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.


Book Synopsis Linear Operators, Part 2 by : Nelson Dunford

Download or read book Linear Operators, Part 2 written by Nelson Dunford and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.


Perturbation theory for linear operators

Perturbation theory for linear operators

Author: Tosio Kato

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 610

ISBN-13: 3662126788

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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:


Linear Operators, Part 1

Linear Operators, Part 1

Author: Nelson Dunford

Publisher: John Wiley & Sons

Published: 1988-02-23

Total Pages: 870

ISBN-13: 0471608483

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This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.


Book Synopsis Linear Operators, Part 1 by : Nelson Dunford

Download or read book Linear Operators, Part 1 written by Nelson Dunford and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.


Linear Operators: Spectral theory

Linear Operators: Spectral theory

Author: Nelson Dunford

Publisher:

Published: 1958

Total Pages: 1104

ISBN-13:

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Book Synopsis Linear Operators: Spectral theory by : Nelson Dunford

Download or read book Linear Operators: Spectral theory written by Nelson Dunford and published by . This book was released on 1958 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Linear Operators in Hilbert Spaces

Linear Operators in Hilbert Spaces

Author: Joachim Weidmann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 413

ISBN-13: 1461260272

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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.


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.


Operators on Hilbert Space

Operators on Hilbert Space

Author: V. S. Sunder

Publisher: Springer

Published: 2016-08-05

Total Pages: 100

ISBN-13: 9811018162

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The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.


Book Synopsis Operators on Hilbert Space by : V. S. Sunder

Download or read book Operators on Hilbert Space written by V. S. Sunder and published by Springer. This book was released on 2016-08-05 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.


Linear Operators and their Spectra

Linear Operators and their Spectra

Author: E. Brian Davies

Publisher: Cambridge University Press

Published: 2007-04-26

Total Pages: 436

ISBN-13: 1139464337

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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.


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.


Linear Operators Set

Linear Operators Set

Author: Nelson Dunford

Publisher: Wiley

Published: 2009-05-26

Total Pages: 2648

ISBN-13: 9780470555613

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This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz.


Book Synopsis Linear Operators Set by : Nelson Dunford

Download or read book Linear Operators Set written by Nelson Dunford and published by Wiley. This book was released on 2009-05-26 with total page 2648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz.