A Borel extension approach to weakly compact operators on $C_0(T)$.

Title:

A Borel extension approach to weakly compact operators on $C_0(T)$.

Creator:

Panchapagesan, Thiruvaiyaru V.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:07a852b2-8d6b-411d-b37f-499a8433be69
uuid:07a852b2-8d6b-411d-b37f-499a8433be69

Subject:

math and Borel extension theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $X$ be a quasicomplete locally convex Hausdorff space. Let $T$ be a locally compact Hausdorff space and let $C_0(T) = \lbrace f\: T \rightarrow I$, $f$ is continuous and vanishes at infinity$\rbrace $ be endowed with the supremum norm. Starting with the Borel extension theorem for $X$-valued $\sigma $-additive Baire measures on $T$, an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map $u\: C_0(T) \rightarrow X$ to be weakly compact.

Language:

English

Rights:

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

Coverage:

97-115

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:1

Harvested from:

CDK

Metadata only:

false