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., & 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., & 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 & 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