Results 1 to 10 of about 94 (75)
THE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS [PDF]
Journal of Algebraic Systems, 2023 In this paper, we introduce the concept of module Lie derivations on Banach algebras and study module Lie derivations on unital triangular Banach algebras $ \mathcal{T}=\begin{bmatrix}A & M\\ &B\end{bmatrix}$ to its dual.
Mohammad Miri +2 more
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Product of derivations on triangular banach algebras [PDF]
Journal of Hyperstructures, 2017 In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari +1 more
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(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras [PDF]
Journal of Sciences, Islamic Republic of Iran, 2021 Let be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions.
Ebrahim Nasrabadi +2 more
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Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan +2 more
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Characterization of Some Biderivations on Triangular Banach Algebras [PDF]
Facta Universitatis Series Mathematics and Informatics, 2021 Let $A$ and $B$ be unital Banach algebras, $X$ be an unital $A-B-$module and $T$ be the triangular Banach algebra associated to $A, B$ and $X$. The structure of some derivations on triangular Banach algebras was studied by some authors. Note that despite the apparent similarity between derivations and biderivations and also inner derivations and
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More on Weak Amenability of Triangular Banach Algebras [PDF]
Sahand Communications in Mathematical AnalysisFor two Banach algebras $A$ and $B$ and a Banach $(A,B)$-module $X$, let $\mathrm{Tri}(A,X,B)$ be the corresponding triangular Banach algebra. In this paper, among other things, we give some characterizations of $n$-weak amenability of $\mathrm{Tri}(A,X ...
Mahdieh Alikahi, Mohammad Ramezanpour
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On (Co)Homology of Triangular Banach Algebras [PDF]
Banach Center Publications, 2005 Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unital T-bimodule, X_{AA}=1_AX1_A, X_{BB}=1_BX1_B, X_{AB}=1_AX1_B and X_{BA}=1_BX1_A.
Mohammad Sal Moslehian
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N-Weak Module Amenability of Triangular Banach Algebras [PDF]
Mathematica Slovaca, 2015 Abstract Let A, B be Banach A-modules with compatible actions and M be a left Banach A- A-module and a right Banach B- A-module. In the current paper, we study module amenability, n-weak module amenability and module Arens regularity of the triangular Banach algebra -
Abasalt Bodaghi, Ali Jabbari
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Weak Module Amenability of Triangular Banach Algebras
Mathematica Slovaca, 2011 Abstract Let A and B be unital Banach algebras and let M be a unital Banach A,B-module. Forrest and Marcoux [6] have studied the weak amenability of triangular Banach algebra $\mathcal{T} = \left[ {_B^{AM} } \right]$ and showed that T is weakly amenable if and only if the corner algebras A and B are weakly amenable.
Abdolrasoul Pourabbas, Ebrahim Nasrabadi
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(2n − 1)-Ideal Amenability of Triangular Banach Algebras
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sina Etemad
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