Results 1 to 10 of about 10,706 (70)

$\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS [PDF]

Journal of Algebraic Systems, 2020
In this paper we define $\varphi$-Connes module amenability of a dual Banach algebra $\mathcal{A}$ where $\varphi$ is a bounded $w_{k^*}$-module homomorphism from $\mathcal{A}$ to $\mathcal{A}$.
A. Ghaffari, S. Javadi Syahkale, E. Tamimi   +2 more
doaj   +1 more source

$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis, 2018
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexification of $ A $ and $ | | cdot | | $ be an algebra norm on  $ A_mathbb{C}  $  satisfying a simple condition together with the norm $ | cdot | $ on $ A$.
Hamidreza Alihoseini, Davood Alimohammadi   +1 more
doaj   +1 more source

Lw∗wc and Rw∗wc and weak amenability of banach algebras [PDF]

Journal of Hyperstructures, 2012
We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property,
K. Haghnejad Azar, Z. Ranjbar
doaj   +1 more source

On Orlicz sequence algebras

Journal of Inequalities and Applications, 2023
We study Orlicz sequence algebras and their properties. In particular, we fully characterize biflat and biprojective Orlicz sequence algebras as well as weakly amenable and approximately (semi-)amenable Orlicz sequence algebras. As a consequence, we show
Paweł Foralewski, Krzysztof Piszczek
doaj   +1 more source

Ideal Amenability of Banach Algebras and Some Hereditary Properties [PDF]

Journal of Sciences, Islamic Republic of Iran, 2010
Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial.
M. Eshaghi Gordji
doaj  

Cyclic amenability of Lau product and module extension Banach algebras

پژوهش‌های ریاضی, 2022
Introduction The notion of weak amenability for commutative Banach algebras was introduced and studied for the first time by Bade, Curtis and Dales. Johnson extended this concept to the non commutative case and showed that group algebras of all locally ...
Mohammad Ramezanpour, Mahdieh Alikahi
doaj  

Ternary Weakly Amenable C*-algebras and JB*-triples

, 2012
A well known result of Haagerup from 1983 states that every C*-algebra A is weakly amenable, that is, every (associative) derivation from A into its dual is inner. A Banach algebra B is said to be ternary weakly amenable if every continuous Jordan triple
Ho, Tony, Peralta, Antonio M., Russo, Bernard   +2 more
core   +1 more source

Weak and cyclic amenability for Fourier algebras of connected Lie groups

, 2014
Using techniques of non-abelian harmonic analysis, we construct an explicit, non-zero cyclic derivation on the Fourier algebra of the real $ax+b$ group. In particular this provides the first proof that this algebra is not weakly amenable.
Choi, Yemon, Ghandehari, Mahya
core   +1 more source

Permanently Weak Amenability of Rees Semigroup Algebras

International Journal of Analysis and Applications, 2018
In this paper, we consider n-weak amenability of full matrix algebras and we prove that the Rees semigroup algebra is permanently weakly amenable.
Hassan Hosseinzadeh, Ali Jabbari
doaj   +2 more sources

A generalization of the weak amenability of some Banach algebra [PDF]

, 2010
Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under generalization, that is, if $(n+2)-th$ dual of $A$, $A^{(
Azar, Kazem Haghnejad
core   +1 more source