Embedding $c_0$ in ${\rm bvca}(\Sigma,X)$

Title:

Embedding $c_0$ in ${\rm bvca}(\Sigma,X)$

Creator:

Ferrando, Juan Carlos and Sánchez Ruiz, L. M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c48def03-f071-407b-8470-4b6a728ff4e5
uuid:c48def03-f071-407b-8470-4b6a728ff4e5

Subject:

countably additive vector measure of bounded variation, Pettis integrable function space, copy of $c_{0}$, and copy of $\ell _{\infty }$

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

If $(\Omega ,\Sigma ) $ is a measurable space and $X$ a Banach space, we provide sufficient conditions on $\Sigma $ and $X$ in order to guarantee that $\mathop {\mathrm bvca}( \Sigma ,X) $, the Banach space of all $X$-valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of $c_{0}$ if and only if $X$ does.

Language:

English

Rights:

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

Coverage:

679-688

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:2

Harvested from:

CDK

Metadata only:

false