A class of Banach sequence spaces analogous to the space of Popov

Title:

A class of Banach sequence spaces analogous to the space of Popov

Creator:

Azimi, Parviz and Ledari, A. A.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6689af5c-0311-47b4-827d-3833a5cd83df
uuid:6689af5c-0311-47b4-827d-3833a5cd83df

Subject:

Banach spaces, Schur property, and hereditarily $l_p$

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Hagler and the first named author introduced a class of hereditarily $l_1$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily $l_p$ Banach spaces for $1\leq p<\infty $. Here we use these spaces to introduce a new class of hereditarily $l_p(c_0)$ Banach spaces analogous of the space of Popov. In particular, for $p=1$ the spaces are further examples of hereditarily $l_1$ Banach spaces failing the Schur property.

Language:

English

Rights:

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

Coverage:

573-582

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:3

Harvested from:

CDK

Metadata only:

false