Creator: Villanueva, Ignacio - LINDAT/CLARIAH-CZ Catalog Search Results

Start Over Creator Villanueva, Ignacio

Creator:: Villanueva, Ignacio
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: integral multilinear forms, spaces of continuous functions, and injective tensor product
Language:: English
Description:: We use polymeasures to characterize when a multilinear form defined on a product of $C(K,X)$ spaces is integral.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

Creator:: Villanueva, Ignacio
Format:: bez média and svazek
Type:: model:article and TEXT
Subject:: completely continuous, unconditionally converging, multilinear operators, and $C(K,X)$ spaces
Language:: English
Description:: Given Banach spaces~ $X$, $Y$ and a compact Hausdorff space~ $K$, we use polymeasures to give necessary conditions for a multilinear operator from $C(K,X)$ into~ $Y$ to be completely continuous (resp.~ unconditionally converging). We deduce necessary and sufficient conditions for~ $X$ to have the Schur property (resp.~ to contain no copy of~ $c_0$), and for~ $K$ to be scattered. This extends results concerning linear operators.
Rights:: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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