03075nam a22005535i 4500 978-3-031-44532-3 DE-He213 20251030111431.0 cr nn 008mamaa 240219s2024 sz | s |||| 0|eng d 9783031445323 978-3-031-44532-3 10.1007/978-3-031-44532-3 doi QA319-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Dales, Harold Garth. author. aut http://id.loc.gov/vocabulary/relators/aut 71214 Banach Function Algebras, Arens Regularity, and BSE Norms [electronic resource] / by Harold Garth Dales, Ali Ülger. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XII, 445 p. 2 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda CMS/CAIMS Books in Mathematics, 2730-6518 ; 12 Banach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity. This 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. Functional analysis. 71215 Measure theory. 71216 Algebras, Linear. 71217 Functional Analysis. 71218 Measure and Integration. 71219 Linear Algebra. 71220 Ülger, Ali. author. aut http://id.loc.gov/vocabulary/relators/aut 71221 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031445316 Printed edition: 9783031445330 Printed edition: 9783031445347 CMS/CAIMS Books in Mathematics, 2730-6518 ; 12 71222 https://doi.org/10.1007/978-3-031-44532-3 ZDB-2-SMA ZDB-2-SXMS 57695 57695