Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras /

• Main Author: Muscat, Joseph (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in...

Table of Contents:

• Introduction
• Distance
• Convergence and Continuity
• Completeness and Separability
• Connectedness
• Compactness
• Normed Spaces
• Continuous Linear Maps
• Main Examples
• Hilbert Spaces
• Banach Spaces
• Differentiation and Integration
• Banach Algebras
• Spectral Theory
• C∗-Algebras.