### Impacto

Llavona, José G. and Gutiérrez, Joaquín M.
(1997)
*Polynomially continuous operators.*
Israel Journal of Mathematics , 102
.
179-187 .
ISSN 0021-2172

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Official URL: http://www.springerlink.com/content/67414688531p4130/fulltext.pdf

## Abstract

A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. Every compact (linear) operator is polynomially continuous. We prove that every polynomially continuous operator is weakly compact.

Item Type: | Article |
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Uncontrolled Keywords: | Space |

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

ID Code: | 16279 |

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Deposited On: | 10 Sep 2012 08:04 |

Last Modified: | 07 Feb 2014 09:26 |

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