Banach Algebras and Harmonic Analysis: Arens Products, Factorizations, and Bounded Operators (Hardcover) (ISBN-13: 9783111643243)

The book includes recent articles on various topics studied recently in Banach algebras and abstract harmonic analysis. On the Banach algebra side, the reader will find idempotents and socle of a Banach algebra; closed subspaces of a Banach space, including the classical sequence spaces, which are realized as the kernel of a bounded operator; the connection between the stable rank one and Dedekind-finite property of the algebra of operators on a Banach space; spectral synthesis properties in convolution Sobolev algebras on the real line. The harmonic analysis side includes a generalization of the famous Beurling theorem; groups with few finite-dimensional unitary representations; relations between ideals of the Figa-Talamanca Herz algebra of a locally compact group and ideals of Figa-Talamanca Herz algebra of its closed subgroup; the tame functionals on Banach algebras and in harmonic analysis; and cancellation, factorization, and isometries in algebras on a locally compact group. The book also includes four surveys written by leaders in the area of full sheaf cohomology theory for noncommutative C - algebras; one-parameter semigroups of bounded operators on a Banach space which are weakly continuous in the sense of Arveson.

Author: Mahmoud Filali
ISBN-10: 3111643247
ISBN-13: 9783111643243
Publisher: de Gruyter
Language: English
Published: 10/06/2025
Pages: 330
Format: Hardcover
Weight: 1.55lbs
Size: 9.61h x 6.69w x 0.75d