Open Access
november 2013 Approximate injectivity of dual Banach algebras
Amin Mahmoodi
Bull. Belg. Math. Soc. Simon Stevin 20(5): 831-842 (november 2013). DOI: 10.36045/bbms/1385390767


A new notion of injectivity is introduced. It is shown that approximate Connes-amenability and approximate injectivity are the same properties. As a consequence, approximate Connes-amenability of the direct sum of dual Banach algebras is discussed. A characterization is given for approximate Connes-amenability of dual Banach algebras in terms of the approximate splitting of certain short exact sequence.


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Amin Mahmoodi. "Approximate injectivity of dual Banach algebras." Bull. Belg. Math. Soc. Simon Stevin 20 (5) 831 - 842, november 2013.


Published: november 2013
First available in Project Euclid: 25 November 2013

zbMATH: 1285.22011
MathSciNet: MR3160592
Digital Object Identifier: 10.36045/bbms/1385390767

Primary: 22D15 , 43A10
Secondary: 43A20 , 46H25

Keywords: Approximately Connes-amenable dual Banach algebras , Approximately injective dual Banach algebras , Connes-amenable dual Banach algebras

Rights: Copyright © 2013 The Belgian Mathematical Society

Vol.20 • No. 5 • november 2013
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