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).
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
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|Deposited On:||20 Jul 2012 10:34|
|Last Modified:||06 Feb 2014 10:36|
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