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Banach Spaces of Continuous Functions as Dual Spaces

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 construc...

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Main Authors: Dales, H. G. (Author, http://id.loc.gov/vocabulary/relators/aut), Dashiell, Jr., F.K. (http://id.loc.gov/vocabulary/relators/aut), Lau, A.T.-M. (http://id.loc.gov/vocabulary/relators/aut), Strauss, D. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Algebra.
Ordered algebraic structures.
Algebraic topology.
K-theory.
Order, Lattices, Ordered Algebraic Structures.
Algebraic Topology.
K-Theory.
Online Access:https://doi.org/10.1007/978-3-319-32349-7
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300 |a XIV, 277 p. 6 illus.  |b online resource. 
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505 0 |a Introduction -- Banach Spaces and Banach Lattices -- Banach Algebras and C* Algebras -- Measures -- Hyper-Stonean Spaces -- The Banach Space. 
520 |a 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. 
650 0 |a Algebra. 
650 0 |a Ordered algebraic structures. 
650 0 |a Algebraic topology. 
650 0 |a K-theory. 
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650 2 4 |a K-Theory.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M11086 
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700 1 |a Lau, A.T.-M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Strauss, D.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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