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2016 | OriginalPaper | Chapter

6. The Banach Space C(K)

Authors : H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss

Published in: Banach Spaces of Continuous Functions as Dual Spaces

Publisher: Springer International Publishing

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Abstract

The main aim of this chapter is to determine when a space of the form C(K) for a compact space K is a dual space or a bidual space,either isometrically or isomorphically. However, we shall first discuss when two spaces C(K) and C(L) are isomorphic and when they are isometrically isomorphic. Some results come from rather elementary considerations, but some require more sophisticated background.

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Title: The Banach Space C(K)
Authors: H. G. Dales
F. K. Dashiell Jr.
A. T.-M. Lau
D. Strauss
Publisher: Springer International Publishing
Book: Banach Spaces of Continuous Functions as Dual Spaces
Print ISBN: 978-3-319-32347-3

Electronic ISBN: 978-3-319-32349-7

Copyright Year: 2016
DOI: https://doi.org/10.1007/978-3-319-32349-7_6

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