000 03075nam a22005535i 4500
001 978-3-031-44532-3
003 DE-He213
005 20251030111431.0
007 cr nn 008mamaa
008 240219s2024 sz | s |||| 0|eng d
020 _a9783031445323
_9978-3-031-44532-3
024 7 _a10.1007/978-3-031-44532-3
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
100 1 _aDales, Harold Garth.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971214
245 1 0 _aBanach Function Algebras, Arens Regularity, and BSE Norms
_h[electronic resource] /
_cby Harold Garth Dales, Ali Ülger.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXII, 445 p. 2 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCMS/CAIMS Books in Mathematics,
_x2730-6518 ;
_v12
505 0 _aBanach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity.
520 _aThis book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results. The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.
650 0 _aFunctional analysis.
_971215
650 0 _aMeasure theory.
_971216
650 0 _aAlgebras, Linear.
_971217
650 1 4 _aFunctional Analysis.
_971218
650 2 4 _aMeasure and Integration.
_971219
650 2 4 _aLinear Algebra.
_971220
700 1 _aÜlger, Ali.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971221
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031445316
776 0 8 _iPrinted edition:
_z9783031445330
776 0 8 _iPrinted edition:
_z9783031445347
830 0 _aCMS/CAIMS Books in Mathematics,
_x2730-6518 ;
_v12
_971222
856 4 0 _uhttps://doi.org/10.1007/978-3-031-44532-3
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c57695
_d57695