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Elements of Functional Analysis

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Author(s): L.A. Lusternik, V.J. Sobolev
Series: International monographs on advanced mathematics & physics
Edition: Third
Publisher: John Wiley & Sons Inc
Year: 1975

Language: English
Pages: 378

PREFACE TO THE FIRST RUSSIAN EDITION xiii

PREFACE TO THE SECOND RUSSIAN EDITION xv

Chapter 0. INTRODUCTION 1
Chapter 1. METRIC SPACES 4
Chapter 2. NORMED LINEAR SPACE 36
Chapter 3. LINEAR OPERATORS 83
Chapter 4. LINEAR FUNCTIONALS 118
Chapter 5. COMPACT SETS IN METRIC AND NORMED SPACES 151
Chapter 6. COMPLETELY CONTINUOUS OPERATORS 176
Chapter 7. ELEMENTS OF SPECTRAL THEORY OF SELF-ADJOINT OPERATORS ON HILBERT SPACES 205
Chapter 8. SOME PROBLEMS OF DIFFERENTIAL AND INTEGRAL CALCULUS IN NORMED LINEAR SPACES 272

APPENDICES 332

REFERENCES 347

BIBLIOGRAPHY 349

INDEX OF SYMBOLS 351

INDEX 353

TABLE OF BASIC PROPERTIES OF IMPORTANT FUNCTIONAL SPACES 360