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Banach Spaces of Continuous Functions as Dual Spaces
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Banach Spaces of Continuous Functions as Dual Spaces

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.

Opplag
Softcover reprint of the original 1st ed. 2016
ISBN
9783319812632
Språk
Engelsk
Vekt
310 gram
Utgivelsesdato
7.7.2018
Antall sider
277