Morita Equivalence for C-Algebras with the Weak Banach-Saks Property

Abstract

Let two C*‐algebras A and B be Morita equivalent and let X be an A‐B‐imprimitivity bimodule. Consider the following conditions: (1) A has the weak Banach–Saks property; (2) B has the weak Banach–Saks property; (3) X has the uniform weak Banach–Saks property. Then we show that (1) and (2) are equivalent and (2) implies (3), and that if A or B is unital, then conditions (1) to (3) are equivalent.