Copied Banach Spaces of Continuous Functions as Dual Spaces
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, ofthis spaceas well asmany results on the Stonean space of Boolean rings. The bookalsodiscusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
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