Metrics, Norms, Inner Products, and Operator Theory

• Main Author: Heil, Christopher (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

This text is a self-contained introduction to the three main families that we encounter in analysis - metric spaces, normed spaces, and inner product spaces - and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the space...

Table of Contents:

• Preface
• Notation and Preliminaries
• Metric Spaces
• Norms and Banach Spaces
• Further Results on Banach Spaces
• Inner Products and Hilbert Spaces
• Operator Theory
• Operators and Hilbert Spaces.