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.
Esslamzadeh,G H , Khotanloo,A and Tabatabaie Shourijeh,B . (2014). Structure of Certain Banach Algebra Products. Journal of Sciences, Islamic Republic of Iran, 25(3), 265-271.
MLA
Esslamzadeh,G H , , Khotanloo,A , and Tabatabaie Shourijeh,B . "Structure of Certain Banach Algebra Products", Journal of Sciences, Islamic Republic of Iran, 25, 3, 2014, 265-271.
HARVARD
Esslamzadeh G H, Khotanloo A, Tabatabaie Shourijeh B. (2014). 'Structure of Certain Banach Algebra Products', Journal of Sciences, Islamic Republic of Iran, 25(3), pp. 265-271.
CHICAGO
G H Esslamzadeh, A Khotanloo and B Tabatabaie Shourijeh, "Structure of Certain Banach Algebra Products," Journal of Sciences, Islamic Republic of Iran, 25 3 (2014): 265-271,
VANCOUVER
Esslamzadeh G H, Khotanloo A, Tabatabaie Shourijeh B. Structure of Certain Banach Algebra Products. J. Sci. I. R. I.. 2014;25(3):265-271.
Journal of Sciences, Islamic Republic of Iran