Φ-Multipliers on Banach Algebras and Topological Modules. (22nd February 2015)

• Record Type: Journal Article
• Authors: Adib, Marjan
• Other Names: Peralta Antonio M. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-02-22
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/951021
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We prove some results concerning Arens regularity and amenability of the Banach algebraM φ A of allφ -multipliers on a given Banach algebraA . We also considerφ -multipliers in the general topological module setting and investigate some of their properties. We discuss theφ -strict andφ -uniform topologies onM φ A . A characterization ofφ -multipliers onL 1 G -moduleL p G, whereG is a compact group, is given.