On the Topological Centers of Banach Algebras

Hayri AKAY; Danyal SOYBAŞ

Article Details

On the Topological Centers of Banach Algebras

Authors:

Hayri AKAY | Danyal SOYBAŞ

Publisher:

Gazi University

Journal:

Gazi University Journal of Science 2006 Vol.19 Issue 1, pp.15-19

Document Type:

Article

Publication Date:

3/2010

Document Language:

English

Document ID (Org No.):

2000430133

eISSN:

2147-1762

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

 

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Article Details

On the Topological Centers of Banach Algebras

Authors: Hayri AKAY | Danyal SOYBAŞ

Publisher: Gazi University

Journal: Gazi University Journal of Science 2006 Vol.19 Issue 1, pp.15-19

Document Type: Article

Publication Date: 3/2010

Document Language: English

Document ID (Org No.): 2000430133

eISSN: 2147-1762

Issues

Authors:

Hayri AKAY | Danyal SOYBAŞ

Publisher:

Gazi University

Journal:

Gazi University Journal of Science 2006 Vol.19 Issue 1, pp.15-19

Document Type:

Article

Publication Date:

3/2010

Document Language:

English

Document ID (Org No.):

2000430133

eISSN:

2147-1762