TY - BOOK AU - Dales,H.G. AU - Dashiell,Jr,F.K. AU - Lau,A.T.-M. AU - Strauss,D. ED - SpringerLink (Online service) TI - Banach Spaces of Continuous Functions as Dual Spaces T2 - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, SN - 9783319323497 AV - QA172-172.4 U1 - 511.33 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Algebra KW - Algebraic topology KW - K-theory KW - Order, Lattices, Ordered Algebraic Structures KW - Algebraic Topology KW - K-Theory N1 - Introduction -- Banach Spaces and Banach Lattices -- Banach Algebras and C* Algebras -- Measures -- Hyper-Stonean Spaces -- The Banach Space N2 - 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 UR - https://doi.org/10.1007/978-3-319-32349-7 ER -