Operators, Spaces, Algebras, Modules 2010

Banach-Saks and Schur type properties of C*-algebras and Hilbert C*-modules

We investigate C*-algebras and Hilbert C*-modules with respect to the classical, the weak and the uniform weak Banach-Saks properties, as well as with respect to the analogous module Schur and module weak Banach-Saks properties. A number of results, techniques and open questions in the theory of Hilbert C*-modules is presented. This is joint work with A. A. Pavlov.