On the Topological Centers of Banach Algebras

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Gazi University Journal of Science
Volume:19 Issue:1
On the Topological Centers of Banach Algebras

On the Topological Centers of Banach Algebras

Authors : Hayri AKAY, Danyal SOYBAŞ

Pages : 15-19

View : 16 | Download : 9

Publication Date : 2010-03-24

Article Type : Other Papers

Abstract :Let A be a Banach algebra with a bounded approximate identity. Let and be respectively, the topological centers of the algebras A** and insert ignore into journalissuearticles values(AA*);* with respect to the second Arens multiplication. In this paper, we show that is isometrically isomorphic to LMinsert ignore into journalissuearticles values(A); , where is a closed subalgebra of and LMinsert ignore into journalissuearticles values(A); is the set of left multipliers operators of the Banach algebra A. Key words: Topological center, Arens multiplication, Banach algebra, Left multiplier operator
Keywords : Topological center, Arens multiplication, Banach algebra, Left multiplier operator

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