1. σ-CENTRALIZERS OF GENERALIZED MATRIX ALGEBRAS.
- Author
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ASHRAF, MOHAMMAD and ANSARI, MOHAMMAD AFAJAL
- Subjects
- *
MATHEMATICS , *FIXED point theory , *NONLINEAR operators , *INTEGRO-differential equations , *DERIVATIVES (Mathematics) - Abstract
In the present paper, we characterize Lie (Jordan) σ-centralizers of generalized matrix algebras. More precisely, we obtain some conditions under which every Lie σ-centralizer of a generalized matrix algebra can be expressed as the sum of a σ-centralizer and a center- valued mapping. Further, it is shown that under certain appropriate assumptions every Jordan σ-centralizer of a generalized matrix algebra is a σ-centralizer. Finally, the main results are applied to triangular algebras. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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