Banach Spaces of Continuous Functions as Dual Spaces

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

Softcover reprint of the original 1st Edition 2016

Paperback (07 Jul 2018)

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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: 9783319812632
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
Edition: Softcover reprint of the original 1st Edition 2016
Language: English
Number of pages: 277
Weight: 4453g
Height: 235mm
Width: 155mm
Spine width: 15mm