On the Schröder-Bernstein problem for Carathéodory vector lattices

Title:

On the Schröder-Bernstein problem for Carathéodory vector lattices

Creator:

Jakubík, Ján

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d635f906-836a-454e-bfa3-24132a2f66ff
uuid:d635f906-836a-454e-bfa3-24132a2f66ff

Subject:

vecrot lattice; Boolean algebra; and internal direct factor

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this note we prove that there exists a Carathéodory vector lattice $V$ such that $V\cong V^3$ and $V\ncong V^2$. This yields that $V$ is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.

Language:

English

Rights:

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

Coverage:

419-440

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:2

Harvested from:

CDK

Metadata only:

false