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The Aron-Berner extension, Goldstine's theorem and P-continuity

✍ Scribed by Ricardo García; Jesús A. Jaramillo; José G. Llavona


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
113 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

In this paper we show that the Aron‐Berner type extension of polynomials preserves the P‐continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim