Publication: P-continuity on classical Banach spaces
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Publication Date
2000-03
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American Mathematical Society
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Abstract
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).
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