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Weak continuity of mappings between spaces of compact operators

Aron, Richard M.; Asthagiri, Rajappa K. — 1990

Portugaliae mathematica

Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.

Rajappa K. Asthagiri — 1991

Extracta Mathematicae

In this paper it is shown that the class L (E,E,...,E;F) of weakly uniformly continuous n-linear mappings from Ex Ex...x E to F on bounded sets coincides with the class L (E,E,...,E;F) of weakly sequentially continuous n-linear mappings if and only if for every Banach space F, each Banach space E for i = 1,2,...,n does not contain a copy of l.

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