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Hilbert space : compact operators and the trace theorem /
Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everyth...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York, NY :
Cambridge University Press,
©1993.
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| Colección: | London Mathematical Society student texts ;
27. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Series Page; Title; Copyright; Dedication; ACKNOWLEDGEMENT; CONTENTS; INTRODUCTION; 0. THE INEQUALITIES OF IT ALL; I. PRELIMINARIES; Exercise 1. Read the introduction!; Remarks, Exercises and Hints; II. ORTHOGONALITY; Remarks, Exercises and Hints; III. ISOMORPHISMS AND ISOMETRIES; Remarks, Exercises and Hints; IV. BOUNDED LINEAR OPERATORS ON HILBERT SPACE; Remarks, Exercises, and Hints; V. ELEMENTARY SPECTRAL THEORY; Remarks, Exercises, Hints; VI. SELF-ADJOINT OPERATORS; Remarks, Exercises, and Hints; VII. COMPACT OPERATORS; Remarks, Exercises and Hints
- APPENDIX A: COMPACT INTEGRAL OPERATORSVIII. SQUARE ROOTS; Remarks, Exercises, and Hints; IX. THE WEAK WEYL INEQUALITY; APPENDIX B: THE WEYL INEQUALITY; Remarks, Exercises and Hints; X. IDLBERT-SCHMIDT AND TRACE CLASS OPERATORS; Remarks, Exercises and Hints; XI. THE LIDSKIJ TRACE THEOREM; Final Remarks, Exercises and Hints; APPENDIX C: LOCALIZATION OF EIGENVALUES; BIBLIOGRAPHY; Books; Research Papers; Future Reading; INDEX OF NOTATION; INDEX OF TERMS