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- Title
Some Remarks of Centrality in a Nonunital Complex Banach Algebra.
- Authors
As'ad, As'ad Y.
- Abstract
We show under certain condition that the set of all ρ-quasi central elements of a nonunital complex Banach algebra A is a subset of the set of all ρ-quasi central elements of A*, the unitization of A. Also we show under certain condition, the set of all ρ-quasi, the set of all σ-quasi and the set of all quasi centralizer elements of a subalgebra B of a complex Banach algebra A are subsets of the set of all ρ-quasi, all σ-quasi and all quasi centralizer elements of B*, respectively. Finally we prove that under certain condition the ρ-quasi, the σ-quasi and the quasi centralizer are preserved under the quotient mapping. Some previous results of Renneson and As'ad obtained in 1982 and 1999, respectively are generalized.
- Publication
Southeast Asian Bulletin of Mathematics, 2006, Vol 30, Issue 6, p1009
- ISSN
0129-2021
- Publication type
Academic Journal