Banach Spaces of Continuous Functions as Dual Spaces

Banach Spaces of Continuous Functions as Dual Spaces - CMS Books in Mathematics

1st ed. 2016

Hardback (27 Dec 2016)

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Publisher's Synopsis

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.

Book information

ISBN: 9783319323473
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
Edition: 1st ed. 2016
DEWEY: 515.732
DEWEY edition: 23
Language: English
Number of pages: 277
Weight: 606g
Height: 235mm
Width: 155mm
Spine width: 18mm