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The Aron‐Berner extension, Goldstine's theorem and P ‐continuity
Author(s) -
García Ricardo,
Jaramillo Jesús A.,
Llavona José G.
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810120
Subject(s) - mathematics , extension (predicate logic) , linear subspace , pure mathematics , type (biology) , combinatorics , discrete mathematics , ecology , computer science , biology , programming language
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
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