Hilbert Space : Compact Operators and the Trace Theorem
J. R. Retherford
Bok Engelsk 1993 · Electronic books.
| Annen tittel | |
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| Utgitt | Cambridge : Cambridge University Press , 1993
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| Omfang | 1 online resource (144 p.)
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| Opplysninger | Description based upon print version of record.. - 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. - A virtually self-contained treatment of Hilbert space theory which is suitable for advanced undergraduates and graduate students.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 0521418844. - 0521429331
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