Structure of Certain Banach Algebra Products

نویسندگان
Khotanloo, A. ID 1
Esslamzadeh, G. H. ID 2
Tabatabaie Shourijeh, B. ID 3

1 Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of Iran

2 Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of Iran

3 Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of Iran

doi
چکیده

Let  and  be Banach algebras, ,  and . We define an -product on  which is a strongly splitting extension of  by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.

کلیدواژه‌ها
Module extension, -product, Arens regularity, Amenability, Weak amenability