On the Topological Centers of Banach Algebras

Abstract

Let A be a Banach algebra with a bounded approximate identity. Let  and be respectively, the topological centers of the algebras A** and (AA*)* with respect to the second Arens multiplication. In this paper, we show that is isometrically isomorphic to LM(A) , where  is a closed subalgebra of and LM(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

References

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