Banach Spaces of Continuous Functions as Dual Spaces

• Main Authors: Dales, H. G. (Author), Dashiell, Jr., F.K (Author), Lau, A.T.-M (Author), Strauss, D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
• Subjects: Mathematics.; K-theory.; Algebra.; Ordered algebraic structures.; Algebraic topology.; Order, Lattices, Ordered Algebraic Structures.; Algebraic Topology.; K-Theory.

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...

Table of Contents:

• Introduction
• Banach Spaces and Banach Lattices
• Banach Algebras and C* Algebras
• Measures
• Hyper-Stonean Spaces
• The Banach Space.