Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism

Verfasser / Beitragende:
[Prakash Dabhi, Ali Jabbari, Kazem Haghnejad Azar]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/9(2015-09-01), 1461-1474
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4429-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4429-8 
245 0 0 |a Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism  |h [Elektronische Daten]  |c [Prakash Dabhi, Ali Jabbari, Kazem Haghnejad Azar] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Banach algebra  |2 nationallicence 
690 7 |a Lau product  |2 nationallicence 
690 7 |a amenability  |2 nationallicence 
690 7 |a weak amenability  |2 nationallicence 
700 1 |a Dabhi  |D Prakash  |u Department of Mathematics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India  |4 aut 
700 1 |a Jabbari  |D Ali  |u Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran  |4 aut 
700 1 |a Haghnejad Azar  |D Kazem  |u Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1461-1474  |x 1439-8516  |q 31:9<1461  |1 2015  |2 31  |o 10114 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dabhi  |D Prakash  |u Department of Mathematics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jabbari  |D Ali  |u Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Haghnejad Azar  |D Kazem  |u Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1461-1474  |x 1439-8516  |q 31:9<1461  |1 2015  |2 31  |o 10114