THE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS
عنوان مقاله: THE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS
شناسه ملی مقاله: JR_JAS-11-1_002
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JAS-11-1_002
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Mohammad Miri - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
Ebrahim Nasrabadi - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
Ali Ghorchizadeh - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
خلاصه مقاله:
Mohammad Miri - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
Ebrahim Nasrabadi - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
Ali Ghorchizadeh - Department of Mathematics, University of Birjand, P.O. Box ۹۷۱۷۴۳۴۷۶۵, Birjand, Iran.
In this paper, we introduce the concept of module Lie derivation on Banach algebras and study module Lie derivations on unital triangular Banach algebras \mathcal{T}=\Mat{A}{M}{B} to its dual. Indeed, we prove that every module (linear) Lie derivation \delta: \mathcal{T} \to \mathcal{T}^{\ast} can be decomposed as \delta = d + \tau , where d: \mathcal{T} \to \mathcal{T}^{\ast} is a module (linear) derivation and \tau: \mathcal{T} \to Z_{\mathcal{T}}(\mathcal{T}^{\ast}) is a module (linear) map vanishing at commutators if and only if this happens for the corner algebras A and B.
کلمات کلیدی: triangular Banach algebra, module Lie derivation, standard Lie derivation
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1599711/