ENGLISH

Banach Spaces of Continuous Functions as Dual Spaces

By H. G. Dales , D. Strauss , A.T.-M. Lau , F.K. Dashiell Jr.

Book information

Publisher
Springer Science and Business Media : Springer
Year
2016
ISBN
3319323474, 978-3-319-32347-3, 978-3-319-32349-7, 3319323490
Language
english
Format
PDF
Filesize
2 MB (2201594 bytes)
Series
CMS Books in Mathematics
Edition
1st ed.
Pages
277\286
Library
kolxoz
Time added
2017-10-15 16:00:00

Description

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. Front Matter....Pages i-xiv Introduction....Pages 1-46 Banach Spaces and Banach Lattices....Pages 47-92 Banach Algebras and C ∗-Algebras....Pages 93-108 Measures....Pages 109-160 Hyper-Stonean Spaces....Pages 161-182 The Banach Space C(K)....Pages 183-247 Back Matter....Pages 249-277

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