1. A Borel extension approach to weakly compact operators on $C_0(T)$.
- Creator:
- Panchapagesan, Thiruvaiyaru V.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- math and Borel extension theorem
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public