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Titlebook: Banach Spaces of Continuous Functions as Dual Spaces; H. G. Dales,F.K. Dashiell, Jr.,D. Strauss Book 2016 Springer International Publishin

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期刊全称Banach Spaces of Continuous Functions as Dual Spaces
影响因子2023H. G. Dales,F.K. Dashiell, Jr.,D. Strauss
视频video
发行地址Includes a balance of well-known theorems and applications as well as new research and results.Provides a clear account of background information in Stonean spaces, Banach spaces, Banach lattices, Ban
学科分类CMS Books in Mathematics
图书封面Titlebook: Banach Spaces of Continuous Functions as Dual Spaces;  H. G. Dales,F.K. Dashiell, Jr.,D. Strauss Book 2016 Springer International Publishin
影响因子.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..
Pindex Book 2016
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Banach Algebras and ,,-Algebras,ar, in .., we shall discuss the bidual of a Banach algebra, taken with its Arens products. In .., we shall exhibit the Baire classes as examples of commutative ..-algebras. We shall conclude the chapter in .. with a few remarks on the generalizations of some of our discussions concerning the commuta
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Measures,. and, in particular, the positive measures in .(.), which form the cone .(.).. The Banach space .(.) is isometrically isomorphic to the dual of ..(.). In .4.2, we shall discuss the linear spaces of discrete measures and of continuous measures on ..
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The Banach Space ,(,),y or isomorphically. However, we shall first discuss when two spaces .(.) and .(.) are isomorphic and when they are isometrically isomorphic. Some results come from rather elementary considerations, but some require more sophisticated background.
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1613-5237 nean space of Boolean rings.  The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces..978-3-319-81263-2978-3-319-32349-7Series ISSN 1613-5237 Series E-ISSN 2197-4152
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