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Banach-Saks properties of C*-algebras and Hilbert C*-modules. (English) Zbl 1206.46009
Summary: The investigation of $C^*$-algebras and Hilbert $C^*$-modules with respect to the classical, the weak and the uniform weak Banach-Saks properties is completed giving a full picture, in particular in the non-unital cases. This way some open questions by M. Kusuda and C.-H.\thinspace Chu are answered. Criteria and structural characterizations are given. In particular, the weak and the uniform weak Banach-Saks property turn out to be invariant under strong Morita equivalence for non-unital C$\ast $-algebras. [For a correction, see Zbl 1206.46010.]

46B03Isomorphic theory (including renorming) of Banach spaces
46L05General theory of $C^*$-algebras
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