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

Subject Matter

 * Functional Analysis

Contents

 * Preface
 * 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