A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras

M. Frank, V. Manuilov, E. Troitsky

A C*-algebra $A$ is C*-reflexive if any countably generated Hilbert C*-module $M$ over $A$ is C*-reflexive, i.e. the second dual module $M^{\prime \prime }$ coincides with $M$. We show that a com…