Title of article
Arens Regularity of Module Extensions of Banach Algebras
Author/Authors
Zivari-Kazempour ، A. - Ayatollah Borujerdi University
Pages
7
From page
1
To page
7
Abstract
Let A be a Banach algebra and A be its second dual equipped with the first or second Arens product, X be a Banach A-bimodule and let U=A ⊕ X as a module extensions of Banach algebra. In this paper we study the topological centres of U and show that under certain conditions Arens regularity of A implies that of U.
Keywords
Arens regular , Module action , Topological centres , Bounded bilinear map
Journal title
General Mathematics Notes
Serial Year
2013
Journal title
General Mathematics Notes
Record number
2457509
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