caa a22 4500 60546121X CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10114-015-4429-8 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4429-8 Some notes on amenability and weak amenability of Lau product of Banach algebras defined by a Banach algebra morphism [Elektronische Daten] [Prakash Dabhi, Ali Jabbari, Kazem Haghnejad Azar] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Banach algebra nationallicence Lau product nationallicence amenability nationallicence weak amenability nationallicence Dabhi Prakash Department of Mathematics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India aut Jabbari Ali Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran aut Haghnejad Azar Kazem Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1461-1474 1439-8516 31:9<1461 2015 31 10114 https://doi.org/10.1007/s10114-015-4429-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4429-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dabhi Prakash Department of Mathematics, Sardar Patel University, 388120, Vallabh Vidyanagar, Gujarat, India aut NATIONALLICENCE 700 1- Jabbari Ali Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran aut NATIONALLICENCE 700 1- Haghnejad Azar Kazem Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1461-1474 1439-8516 31:9<1461 2015 31 10114