An Introductory Course in Functional Analysis

• Main Authors: Bowers, Adam (Author), Kalton, Nigel J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Functional analysis.; Functional Analysis.

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions...

Table of Contents:

• Foreword
• Preface
• 1 Introduction.- 2 Classical Banach spaces and their duals
• 3 The Hahn–Banach theorems.- 4 Consequences of completeness
• 5 Consequences of convexity
• 6 Compact operators and Fredholm theory
• 7 Hilbert space theory
• 8 Banach algebras
• A Basics of measure theory
• B Results from other areas of mathematics
• References
• Index.