Results 1 to 10 of about 328,318 (92)

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
Sedigheh Barootkoob
exaly   +5 more sources

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
exaly   +3 more sources

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, Ebrahim Nasrabadi, Ali Ghorchizadeh   +2 more
doaj   +3 more sources

(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, Mohammad Ramezanpour, Asadollah Aasaraai   +2 more
doaj   +2 more sources

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, Hamid Shafieasl   +1 more
doaj   +2 more sources

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
exaly   +3 more sources

More on Weak Amenability of Triangular Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis
For 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
doaj   +2 more sources

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
exaly   +3 more sources

(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
exaly   +3 more sources

Connes Biprojectivity in Dealing With Nilpotent Ideals and Triangular Dual Banach Algebras

Journal of Mathematics
In this paper, we investigate specific properties of nilpotent ideals within approximately Connes biprojective dual Banach algebras. Consequently, it establishes necessary and sufficient conditions for the Connes biprojectivity of triangular dual Banach ...
Batoul S. Mortazavi-Samarin, Mehdi Rostami, Amir Sahami   +2 more
doaj   +2 more sources