2010/03/17 by Kazem Haghnejad Azar, Azar, Kazem Haghnejad, Abdolhamid Riazi +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Holomorphic and Operator Theory #math.FA
paper · pdf · doi:10.48550/arxiv.1003.3379
arxiv created 2010/03/17 · arxiv updated 2010/03/18
Assume that A, B are Banach algebras and m:A× B→ B, m^′:A× A→ B are bounded bilinear mappings. We will study the relation between Arens regularities of m, m^′ and the Banach algebras A, B. For Banach A-bimodule B, we show that B factors with respect to A if and only if B** is an unital A**-module, and we define locally topological center for elements of A** and will show that when locally topological center of mixed unit of A** is B**, then B^* factors on both sides with respect to A if and only if B** has a unit as A**-module.