Document Type : Original Paper

Authors

• G. H. Esslamzadeh
• A. Khotanloo
• B. Tabatabaie Shourijeh

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

Abstract

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.

Keywords

• Module extension
• -product
• Arens regularity
• Amenability
• Weak amenability