03127nam 22006375 450 991015532060332120220330184001.03-319-32349-010.1007/978-3-319-32349-7(CKB)3710000000974276(DE-He213)978-3-319-32349-7(MiAaPQ)EBC4769489(PPN)197455832(EXLCZ)99371000000097427620161213d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierBanach spaces of continuous functions as dual spaces /by H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XIV, 277 p. 6 illus.)CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-52373-319-32347-4 Includes bibliographical references and index.Introduction -- Banach Spaces and Banach Lattices -- Banach Algebras and C* Algebras -- Measures -- Hyper-Stonean Spaces -- The Banach Space.This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-5237AlgebraOrdered algebraic structuresAlgebraic topologyK-theoryOrder, Lattices, Ordered Algebraic Structureshttps://scigraph.springernature.com/ontologies/product-market-codes/M11124Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019K-Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11086Algebra.Ordered algebraic structures.Algebraic topology.K-theory.Order, Lattices, Ordered Algebraic Structures.Algebraic Topology.K-Theory.515.732Dales H. Gauthttp://id.loc.gov/vocabulary/relators/aut879547Dashiell Jr., F.Kauthttp://id.loc.gov/vocabulary/relators/autLau A.T.-Mauthttp://id.loc.gov/vocabulary/relators/autStrauss Dauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910155320603321Banach Spaces of Continuous Functions as Dual Spaces1963833UNINA