Abstract
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. 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 $C^*$-algebras.
Citation
Michael Frank. Alexander A. Pavlov. "Banach--Saks properties of $C^*$-algebras and Hilbert $C^*$-modules." Banach J. Math. Anal. 3 (2) 91 - 102, 2009. https://doi.org/10.15352/bjma/1261086713
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