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

Llavona, José G. and Jaramillo Aguado, Jesús Ángel and García González, Ricardo (2011) The Aron-Berner extension, Goldstine's theorem and P-continuity. Mathematische Nachrichten , 284 (5–6). 694 - 702. ISSN 0025-584X

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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.

Item Type:Article
Uncontrolled Keywords:Aron-Berner extension; P-continuity; Polynomials; Banach spaces
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15863
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