Book:Yuli Eidelman/Functional Analysis: An Introduction

Subject Matter

 * Functional Analysis

Contents
Preface

Introduction

Part I. Hilbert Spaces and Basic Operator Theory


 * 1. Linear Spaces; noremd spaces; first examples


 * 2. Hilbert spaces


 * 3. The dual space


 * 4. Bounded linear operators


 * 5. Spectrum. Fredholm theory of compact operators


 * 6. Self-adjoint operators


 * 7. Functions of operators; spectral decomposition

'''Part II. Basics of Functional Analysis'''


 * 8. Spectral theory of unitary operators


 * 9. The fundamental theorems and the basic methods


 * 10. Banach algebras


 * 11. Unbounded self-adjoint and symmetric operators in $H$


 * A. Solutions to exercises

Bibliography

Symbols index

Subject index