A Course in Commutative Banach Algebras

• Main Author: Kaniuth, Eberhard. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Graduate Texts in Mathematics, 246
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-72476-8

Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core are chapters on Gelfand's theory, regularity and spectral sy...

Table of Contents:

• Preface
• General Theory of Banach Algebras
• Gelfand Theory
• Functional Calculus, Shilov Boundary, and Applications
• Regularity and Related Properties
• Spectral Synthesis and Ideal Theory
• Appendix
• References
• Index.