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

PDF
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Official URL: http://www.ams.org/journals/proc/2000-128-03/S0002-9939-99-05056-X/S0002-9939-99-05056-X.pdf

## 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).

Item Type: | Article |
---|---|

Uncontrolled Keywords: | P-continuity |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16007 |

Deposited On: | 20 Jul 2012 10:34 |

Last Modified: | 27 Jul 2018 10:18 |

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