02862nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001700188072002300205072001600228100008900244245012400333250001800457264007500475300006300550336002600613337002600639338003600665347002400701490005300725505017500778520081800953650003201771650002701803650002901830650003201859650003601891650002701927700008201954710003402036773002602070776003602096776003602132776003602168830006002204856004602264912001402310912001502324999001702339978-3-031-44532-3DE-He21320251030111431.0cr nn 008mamaa240219s2024    sz |    s    |||| 0|eng d  a97830314453239978-3-031-44532-37 a10.1007/978-3-031-44532-32doi 4aQA319-329.9 7aPBKF2bicssc 7aMAT0370002bisacsh 7aPBKF2thema1 aDales, Harold Garth.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97121410aBanach Function Algebras, Arens Regularity, and BSE Normsh[electronic resource] /cby Harold Garth Dales, Ali Ülger.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aXII, 445 p. 2 illus., 1 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aCMS/CAIMS Books in Mathematics,x2730-6518 ;v120 aBanach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity.  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. 0aFunctional analysis.971215 0aMeasure theory.971216 0aAlgebras, Linear.97121714aFunctional Analysis.97121824aMeasure and Integration.97121924aLinear Algebra.9712201 aÜlger, Ali.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9712212 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303144531608iPrinted edition:z978303144533008iPrinted edition:z9783031445347 0aCMS/CAIMS Books in Mathematics,x2730-6518 ;v1297122240uhttps://doi.org/10.1007/978-3-031-44532-3  aZDB-2-SMA  aZDB-2-SXMS  c57695d57695