On Carathéodory vector lattices

Ján Jakubík

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Displaying similar documents to “On Carathéodory vector lattices”

Torsion classes and subdirect products of Carathéodory vector lattices

Ján Jakubík (2006)

Mathematica Slovaca

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On vector lattices of elementary Carathéodory functions

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

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In this paper we deal with the vector lattice $C (B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$ .

On the Schröder-Bernstein problem for Carathéodory vector lattices

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

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In this note we prove that there exists a Carathéodory vector lattice $V$ such that $V ≅ V^{3}$ and $V ≇ V^{2}$ . 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.