LEADER 02867nam 22006135 450 001 9910838278103321 005 20240826111742.0 010 $a3-031-44532-5 024 7 $a10.1007/978-3-031-44532-3 035 $a(MiAaPQ)EBC31169209 035 $a(Au-PeEL)EBL31169209 035 $a(DE-He213)978-3-031-44532-3 035 $a(CKB)30464666900041 035 $a(EXLCZ)9930464666900041 100 $a20240219d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBanach Function Algebras, Arens Regularity, and BSE Norms /$fby Harold Garth Dales, Ali Ülger 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (452 pages) 225 1 $aCMS/CAIMS Books in Mathematics,$x2730-6518 ;$v12 311 $a3-031-44531-7 327 $aBanach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity. 330 $aThis book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results. The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas. 410 0$aCMS/CAIMS Books in Mathematics,$x2730-6518 ;$v12 606 $aFunctional analysis 606 $aMeasure theory 606 $aAlgebras, Linear 606 $aFunctional Analysis 606 $aMeasure and Integration 606 $aLinear Algebra 606 $aÀlgebres de funcions$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctional analysis. 615 0$aMeasure theory. 615 0$aAlgebras, Linear. 615 14$aFunctional Analysis. 615 24$aMeasure and Integration. 615 24$aLinear Algebra. 615 7$aÀlgebres de funcions 676 $a515.7 700 $aDales$b Harold Garth$054767 701 $aÜlger$b Ali$01726312 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910838278103321 996 $aBanach Function Algebras, Arens Regularity, and BSE Norms$94132035 997 $aUNINA