Banach Algebras and Harmonic Analysis: Arens Products, Factorizations, and Bounded Operators - Mahmoud Filali - Books - De Gruyter - 9783111643243 - October 6, 2025
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Banach Algebras and Harmonic Analysis: Arens Products, Factorizations, and Bounded Operators

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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.

Media Books     Hardcover Book   (Book with hard spine and cover)
Released October 6, 2025
ISBN13 9783111643243
Publishers De Gruyter
Pages 320
Dimensions 150 × 220 × 20 mm   ·   703 g
Editor Filali, Mahmoud

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