The Topological Centers Of Module Actions

2010/03/17 by Kazem Haghnejad Azar, Azar, Kazem Haghnejad, Abdolhamid Riazi +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.FA #msc:46L06 #msc:46L07 #msc:46L10 #msc:47L25

paper · pdf · doi:10.48550/arxiv.1003.3377

arxiv created 2010/03/17 · arxiv updated 2010/03/18

Abstract

In this paper, we will study the topological centers of n-th dual of Banach A-module and we extend some propositions from Lau and Ulger into n-th dual of Banach A-modules. Let B be a Banach A-bimodule. By using some new conditions, we show that Z^ℓ_A⁽ⁿ⁾(B⁽ⁿ⁾)=B⁽ⁿ⁾ and Z^ℓ_B⁽ⁿ⁾(A⁽ⁿ⁾)=A⁽ⁿ⁾. We also have some conclusions in dual groups.

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