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Banach spaces of continuous functions as dual spaces / by H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau, D. Strauss.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Dales, H. G., Author.
- Dashiell, Jr., F.K., Author.
- Lau, A.T.-M., Author.
- Strauss, D., Author.
- Series:
- CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237
- Language:
- English
- Subjects (All):
- Algebra.
- Ordered algebraic structures.
- Algebraic topology.
- K-theory.
- Order, Lattices, Ordered Algebraic Structures.
- Algebraic Topology.
- K-Theory.
- Local Subjects:
- Order, Lattices, Ordered Algebraic Structures.
- Algebraic Topology.
- K-Theory.
- Physical Description:
- 1 online resource (XIV, 277 p. 6 illus.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Summary:
- 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.
- Contents:
- Introduction
- Banach Spaces and Banach Lattices
- Banach Algebras and C* Algebras
- Measures
- Hyper-Stonean Spaces
- The Banach Space.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9783319323497
- 3319323490
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