02290nam a22003975i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172100003200181245009300213264004600306300003300352336002600385337002600411338003900437347002400476490005300500505019100553520077600744650001701520650002501537650002101562650001701583650002501600650002101625710003401646773002001680776003601700830005301736856010301789978-0-387-72476-8DE-He21320260521091940.0cr nn 008mamaa110402s2009    xxu|    s    |||| 0|eng d  a9780387724768  a997803877247687 a10.1007/978-0-387-72476-82doi  cCICY1 aKaniuth, Eberhard.eauthor.12aA Course in Commutative Banach Algebrash[recurso electrónico] /cby Eberhard Kaniuth. 1aNew York, NY :bSpringer New York,c2009.  aXII, 353p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aGraduate Texts in Mathematics,x0072-5285 ;v2460 aGeneral Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory.  aRequiring 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. 0aMATHEMATICS. 0aFUNCTIONAL ANALYSIS. 0aOPERATOR THEORY.14aMATHEMATICS.24aFUNCTIONAL ANALYSIS.24aOPERATOR THEORY.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387724751 0aGraduate Texts in Mathematics,x0072-5285 ;v24640uhttp://dx.doi.org/10.1007/978-0-387-72476-8zVer el texto completo en las instalaciones del CICY