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Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism.
- Source :
-
Acta Mathematica Sinica . Sep2015, Vol. 31 Issue 9, p1461-1474. 14p. - Publication Year :
- 2015
-
Abstract
- Let A and B be Banach algebras and T: B → A be a continuous homomorphism. n-weak amenability of the Banach algebra A × T B (defined in Bade, W. G., Curtis, P. C., Dales, H. G.: Amenability and weak amenability for Beurling and Lipschitz algebras. Proc. London Math. Soc., 55(2), 359-377 (1987)) is studied. The new version of a Banach algebra defined with a continuous homomorphism is introduced and Arens regularity and various notions of amenability of this algebra are studied. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 31
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 108741602
- Full Text :
- https://doi.org/10.1007/s10114-015-4429-8