Title of article
On (p, q)−Centralizers of Certain Banach Algebras
Author/Authors
Mehdipour ، Mohammad Javad Department of Mathematics - Faculty of Science - Shiraz University of Technology , Salkhordeh ، Narjes Department of Mathematics - Faculty of Science - Shiraz University of Technology
From page
1
To page
14
Abstract
Let A be an algebra with a right identity. In this paper, we study (p, q)−centralizers of A and show that every (p, q)−centralizer of A is a two-sided centralizer. In the case where, A is normed algebra, we also prove that (p, q)−centralizers of A are bounded. Then, we apply the results for some group algebras and verify that L 1 (G) has a nonzero weakly compact (p, q)−centralizer if and only if G is compact and the center of L 1 (G) is non-zero. Finally, we investigate (p, q)−Jordan centralizers of A and determine them.
Keywords
(p , q)−centralizers , , (p , q)−Jordan centralizers , , algebras ,
Journal title
Journal of Mathematical Extension(IJME)
Journal title
Journal of Mathematical Extension(IJME)
Record number
2774924
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