Author: Dales, Harold Garth
Title: Banach Algebras and Automatic Continuity
Description: Oxford, Clarendon Press, 2000. orig. boards. 24x16cm, xviii,907 pp. Weighs 1.5 kilos. Series: London Mathematical Society Monographs, New Series, no. 24.. ISBN: 0198500130. Spine bumps. Some minor wear. VG. ¶ ["The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*=algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebras, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained" - publisher's description]. Contents: Algebraic foundations -- Foundations and ordered sets --Semigroups -- Algebras, ideals, and fields --Modules and primitive ideals -- Radicals and spectra -- Polynomials and formal power series --Valuation algebras -- Derivations --Cohomology --Involutions -- Banach and topological algebras --Introduction to normed algebras --Topological algebras --Spectra and Gel' fand theory --The functional calculus --Banach algebras of operators -- Banach modules ---Intertwining maps and derivations --Cohomology --Bounded approximate identities and factorization --Banach algebras with an involution --General theory -- Group algebras -- Commutative Banach algebras --Algebras of functions -- Algebras of continuous functions -- Uniform algebras -- Algebras of differentiable and Lipschitz functions -- Abelian group algebras --Banach algebras of power series --Convolution algebras on the real line --Prime ideals ...

Keywords: 0198500130 Mathematics, Banach Algebras, , , , , , ,