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Polynomially continuous operators


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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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
Uncontrolled Keywords:Space
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16279

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