ARENS REGULARITY AND MODULE ARENS REGULARITY OF MODULE ACTIONS

作者：Amini Massoud^*; Bodaghi Abasalt; Ettefagh Mina; Azar Kazem Haghnejad

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2012, 74(2): 75-86.

• Arens regularity
• Banach module
• Module Arens regularity
• Module topological center

In this paper, we extend the notion of Arens regularity and module Arens regularity of Banach algebras to Arens regularity of module actions. We also investigate the more general notion of Arens regularity for bilinear maps. Finally we find necessary and sufficient conditions for module Arens regularity of semigroup algebra of an inverse semigroup.

• 出版日期2012