02401nam a22004335i 4500 978-0-387-72476-8 DE-He213 20260521091940.0 cr nn 008mamaa 110402s2009 xxu| s |||| 0|eng d 9780387724768 99780387724768 10.1007/978-0-387-72476-8 doi CICY Kaniuth, Eberhard. author. A Course in Commutative Banach Algebras [recurso electrónico] / by Eberhard Kaniuth. New York, NY : Springer New York, 2009. XII, 353p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Graduate Texts in Mathematics, 0072-5285 ; 246 General Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory. 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. MATHEMATICS. FUNCTIONAL ANALYSIS. OPERATOR THEORY. MATHEMATICS. FUNCTIONAL ANALYSIS. OPERATOR THEORY. SpringerLink (Online service) Springer eBooks Printed edition: 9780387724751 Graduate Texts in Mathematics, 0072-5285 ; 246 http://dx.doi.org/10.1007/978-0-387-72476-8 Ver el texto completo en las instalaciones del CICY ddc ER 34296 34296 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 2025-07-10 08:40:15 2025-07-10 ER