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Beschreibung
This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The author has carefully chosen the most important topics within Banach algebra theory. At the core of this text are the 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 is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.
This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The author has carefully chosen the most important topics within Banach algebra theory. At the core of this text are the 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 is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.
Zusammenfassung

This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The author has carefully chosen the most important topics within Banach algebra theory. At the core of this text are the 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 is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

Inhaltsverzeichnis
General Theory of Banach Algebras.- Gelfand Theory.- Functional Calculus, Shilov Boundary, and Applications.- Regularity and Related Properties.- Spectral Synthesis and Ideal Theory.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
353 S.
ISBN-13: 9781441924797
ISBN-10: 1441924795
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kaniuth, Eberhard
Auflage: Softcover reprint of hardcover 1st edition 2009
Hersteller: Springer
Copernicus
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: Eberhard Kaniuth
Erscheinungsdatum: 19.11.2010
Gewicht: 0,557 kg
Artikel-ID: 107152533