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Zbl 1206.46009
Frank, Michael; Pavlov, Alexander A.
Banach-Saks properties of C*-algebras and Hilbert C*-modules. (English)
[J] Banach J. Math. Anal. 3, No. 2, 91-102, electronic only (2009) errata ibid. 5, No. 1, 94-100 (2011; Zbl 05822507). ISSN 1735-8787/e

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.]

MSC 2000:: *46B03 Isomorphic theory (including renorming) of Banach spaces
46L08 C*-modules
46L05 General theory of C*-algebras

Keywords: Banach-Saks properties; $C^*$-algebras; Hilbert $C^*$-modules; Morita equivalence

Citations: Zbl 1126.46036; Zbl 0814.46043; Zbl 1206.46010

Cited in: Zbl 1206.46010

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