Banach Spaces of Continuous Functions as Dual Spaces 1

Vetenskap & teknik

Banach Spaces of Continuous Functions as Dual Spaces

H G Dales • Jr Dashiell F K • A T-M Lau • D Strauss

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277 sidor
2018

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.

Författare: H G Dales, Jr Dashiell F K, A T-M Lau, D Strauss
Format: Pocket/Paperback
ISBN: 9783319812632
Språk: Engelska
Antal sidor: 277
Utgivningsdatum: 2018-07-07
Förlag: Springer International Publishing AG