Llavona, José G. and Gutiérrez, Joaquín M. (1997) Polynomially continuous operators. Israel Journal of Mathematics , 102 . 179-187 . ISSN 0021-2172
Restricted to Repository staff only until 31 December 2020.
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.
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
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|Deposited On:||10 Sep 2012 10:04|
|Last Modified:||06 Nov 2013 19:17|
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