A Kaniuth, Eberhard. creator author. SpringerLink (Online service) text xxu 2009 monographic eng

electronic

recurso electrónico

access XII, 353p. online resource. 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 synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book aims at graduate students and can be used as a text for courses on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis. General Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory. by Eberhard Kaniuth. MATHEMATICS FUNCTIONAL ANALYSIS OPERATOR THEORY MATHEMATICS FUNCTIONAL ANALYSIS OPERATOR THEORY 9780387724768 99780387724768 http://dx.doi.org/10.1007/978-0-387-72476-8 http://dx.doi.org/10.1007/978-0-387-72476-8 110402 20260521091940.0 978-0-387-72476-8