Book:John B. Conway/A Course in Functional Analysis

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John B. Conway: A Course in Functional Analysis

Published $1990$, Springer-Verlag.


Subject Matter


Contents

Preface
Preface to the Second Edition
CHAPTER I: Hilbert Spaces
CHAPTER II: Operators on Hilbert Space
CHAPTER III: Banach Spaces
CHAPTER IV: Locally Convex Spaces
CHAPTER V: Weak Topologies
CHAPTER VI: Linear Operators on a Banach Space
CHAPTER VII: Banach Algebras and Spectral Theory for Operators on a Banach Space
CHAPTER VIII: $C^\ast$-algebras
CHAPTER IX: Normal Operators on Hilbert Space
CHAPTER X: Unbounded Operators
CHAPTER XI: Fredholm Theory
APPENDIX A: Preliminaries
APPENDIX B: The Dual of $L^p(\mu)$
APPENDIX C: The Dual of $C_0(X)$
Bibliography
List of Symbols
Index