Basic Operator Theory

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9780817642624: Basic Operator Theory
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rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat­ ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three 'basic principles of linear analysis and the Riesz­ Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal­ ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ­ ing this book, the authors were strongly influenced by re­ cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's com­ prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap­ ters V, VII and XII due to the specialized nature of the subject matter.

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Contenuti:

Introduction * I. Hilbert Spaces * II. Bounded Linear Operators on Hilbert Spaces * III. Spectral Theory of Compact Self Adjoint Operators * IV. Spectral Theory of Integral Operators * V. Oscillations of an Elastic String * VI. Operational Calculus with Applications * VII. Solving Linear Equations by Iterative Methods * VIII. Further Developments of the Spectral Theorem * IX. Banach Spaces * X. Linear Operators on a Banach Space * XI. Compact Operators on a Banach Space * XII. Non-Linear Operators * Appendix 1. Countable Sets and Separable Hilbert Spaces * Appendix 2. Lebesgue Integration and LP Spaces * Appendix 3. Proof of the Hahn-Banach Theorem * Appendix 4. Proof of the Closed Graph Theorem * Suggested Reading * References * Index

Product Description:

Book by Gohberg Israel Goldberg Seymour

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9783764330286: Basic Operator Theory

Edizione in evidenza

ISBN 10:  3764330287 ISBN 13:  9783764330286
Casa editrice: Birkhauser, 1993
Rilegato

9780817630287: Basic Operator Theory

Birkha..., 1981
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat- ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three basic principles of linear analysis and the Riesz- Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal- ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ- ing this book, the authors were strongly influenced by re- cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader s com- prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap- ters V, VII and XII due to the specialized nature of the subject matter. 1st ed. 1981. 1st softcover printing 2001. Codice articolo LIE9780817642624

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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione: New. Language: English . Brand New Book ***** Print on Demand *****. rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat- ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three basic principles of linear analysis and the Riesz- Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal- ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ- ing this book, the authors were strongly influenced by re- cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader s com- prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap- ters V, VII and XII due to the specialized nature of the subject matter. 1st ed. 1981. 1st softcover printing 2001. Codice articolo AAV9780817642624

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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione: New. Language: English . Brand New Book ***** Print on Demand *****.rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat- ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three basic principles of linear analysis and the Riesz- Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal- ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ- ing this book, the authors were strongly influenced by re- cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader s com- prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap- ters V, VII and XII due to the specialized nature of the subject matter. 1st ed. 1981. 1st softcover printing 2001. Codice articolo AAV9780817642624

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