A characterization of Hilbert $C^{\ast }$-modules over finite dimensional $C^{\ast }$-algebras

Lj. Arambasic, D. Bakic, M. S. Moslehian

We show that the unit ball of a full Hilbert $C^{\ast }$-module is sequentially compact in a certain weak topology if and only if the underlying $C^{\ast }$-algebra is finite dimensional. This…