Multilinear operators on $C(K,X)$ spaces

Title:

Multilinear operators on $C(K,X)$ spaces

Creator:

Villanueva, Ignacio

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1870e358-033a-4e50-9a23-4f1616535100
uuid:1870e358-033a-4e50-9a23-4f1616535100

Subject:

completely continuous, unconditionally converging, multilinear operators, and $C(K,X)$ spaces

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

31-54

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:1

Harvested from:

CDK

Metadata only:

false