Displaying similar documents to “Equivanishing sequences of mappings”

Mazur-like topological linear spaces and their products

Miroslav Hušek (1997)

Commentationes Mathematicae Universitatis Carolinae

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Topological linear spaces having the property that some sequentially continuous linear maps on them are continuous, are investigated. It is shown that such properties (and close ones, e.g., bornological-like properties) are closed under large products.

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

Rajappa K. Asthagiri (1991)

Extracta Mathematicae

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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.

Double Sequences and Limits

Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama (2013)

Formalized Mathematics

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Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits.