000 02391nam a22004215i 4500
001 978-0-387-72476-8
003 DE-He213
005 20250710084015.0
007 cr nn 008mamaa
008 110402s2009 xxu| s |||| 0|eng d
020 _a9780387724768
_a99780387724768
024 7 _a10.1007/978-0-387-72476-8
_2doi
100 1 _aKaniuth, Eberhard.
_eauthor.
245 1 2 _aA Course in Commutative Banach Algebras
_h[recurso electrónico] /
_cby Eberhard Kaniuth.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _aXII, 353p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v246
505 0 _aGeneral Theory of Banach Algebras -- Gelfand Theory -- Functional Calculus, Shilov Boundary, and Applications -- Regularity and Related Properties -- Spectral Synthesis and Ideal Theory.
520 _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.
650 0 _aMATHEMATICS.
650 0 _aFUNCTIONAL ANALYSIS.
650 0 _aOPERATOR THEORY.
650 1 4 _aMATHEMATICS.
650 2 4 _aFUNCTIONAL ANALYSIS.
650 2 4 _aOPERATOR THEORY.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387724751
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v246
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-72476-8
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c58360
_d58360