On the Schröder-Bernstein problem for carathéodory vector lattices
Ján Jakubík · Czechoslovak Mathematical Journal · 2009
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.