Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism |
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| Authors: | Prakash A. Dabhi Ali Jabbari Kazem Haghnejad Azar |
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| Affiliation: | 1. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, Gujarat, India;2. Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran;3. Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran |
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| Abstract: | Let A and B be Banach algebras and T : B → A be a continuous homomorphism. nweak 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. |
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| Keywords: | Banach algebra Lau product amenability weak amenability |
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