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P-continuity on classical Banach spaces


Llavona, José G. and Hájek, P. (2000) P-continuity on classical Banach spaces. Proceedings of the American Mathematical Society, 128 ( 3). 827-830 . ISSN 0002-9939

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Given a Banach space X and an integer n, the existence of an n-homogeneous polynomial which is not uniformly continuous with respect to the polynomial topology on B-X is investigated. We provide a complete characterization for some classical Banach spaces, while for others a surprising unresolved difficulty is encountered for a certain value of n (depending on X).

Item Type:Article
Uncontrolled Keywords:P-continuity
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16007

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Deposited On:20 Jul 2012 10:34
Last Modified:06 Feb 2014 10:36

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