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Metric approximation properties and trace mappings

✍ Scribed by Åsvald Lima; Eve Oja

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
160 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We establish necessary and sufficient conditions involving trace mappings and Hahn–Banach extension operators for a Banach space to have metric or metric compact approximation properties. We also study metric approximation properties for dual spaces. As an application, alternative (hopefully enlightening) proofs are given for the well‐known result that the dual space has the metric approximation property whenever it has the approximation property and the Radon–Nikodým property. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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