Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces

Title:

Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces

Creator:

Cui, Yunan, Hudzik, Henryk, and Płuciennik, Ryszard

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4eec1649-00a0-4e3a-9c57-68ce634c4a59
uuid:4eec1649-00a0-4e3a-9c57-68ce634c4a59

Subject:

Köthe sequence space, Orlicz sequence space, weak orthogonality, and weak property (${\mathbf \beta }$)

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property (${\mathbf \beta }$) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.

Language:

English

Rights:

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

Coverage:

303-316

Source:

Czechoslovak Mathematical Journal | 1999 Volume:49 | Number:2

Harvested from:

CDK

Metadata only:

false