Fundamentals of Functional Analysis

• Main Author: Farenick, Douglas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Universitext,
• Subjects: Mathematics.; Functional analysis.; Measure theory.; Operator theory.; Functional Analysis.; Measure and Integration.; Operator Theory.

This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which...

Table of Contents:

• Preface
• Topological Spaces
• Topological Spaces with Special Properties
• Measure Theory
• Integration
• Banach Spaces
• Dual Spaces
• Convexity
• Banach Space Operators
• Spectral Theory in Banach Algebras
• Hilbert Space Operators
• Algebras of Hilbert Space Operators
• References
• Index.