Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series

Title:

Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series

Creator:

Pérez Fernández, Francisco Javier , Benítez-Trujillo, F., and Aizpuru, Antonio

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4d5d1be4-1768-47c5-9cb7-af01ec7eabae
uuid:4d5d1be4-1768-47c5-9cb7-af01ec7eabae

Subject:

completeness, barrelledness, and weakly unconditionally Cauchy series

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space $X$ can be characterized through the behaviour of its weakly-$\ast $ unconditionally Cauchy series in $X^\ast $.

Language:

English

Rights:

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

Coverage:

889-896

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:4

Harvested from:

CDK

Metadata only:

false