Let A and X be Banach algebras and let X be an algebraic Banach A-module. Then the ℓ 1-
direct sum A× X equipped with the multiplication is a Banach algebra, denoted by A⋈ X …

Abstract Let AA and UU be Banach algebras such that UU is a Banach A A-bimodule with
compatible algebra multiplication, module actions and norm. By defining an appropriate …

Given regular normed algebra U with the norm\(\Vert.\Vert _ {U}\) and normed algebra A with
the norm\(\Vert.\Vert _ {A}\), and given\(\theta\in\sigma (A)\), we define a new …

Given Banach algebras A and B and θ∈∆(B). We shall study the Johnson pseudo-
contractibility and pseudo-amenability of the θ-Lau product A× θ B. We show that if A× θ B is …

Let A and B be Banach algebras with σ (B) ≠ ∅ σ (B)≠∅. Let θ, ϕ, γ ∈ σ (B) θ, ϕ, γ∈ σ (B)
and Der (A * _ θ^ ϕ, γ B) Der (A× θ ϕ, γ B) be the set of all linear mappings d: A * B → A * B …

In this paper, we study Jordan derivation-like maps on the $\theta-$ Lau products of
algebras. We characterize them and prove that under certain condition any Jordan …

In this paper, we investigate the existence of an ultra central approximate identity for a
Banach algebra A and its second dual A∗∗. Also, we prove that for a left cancellative …

\textit {Monfared} defined $\theta $-Lau product structure $ A\times_ {\theta} B $ for two
Banach algebras $ A $ and $ B $, where $\theta: B\rightarrow\mathbb {C} $ is a …

For two Banach algebras A and B and a non-zero multiplicative linear functional θ on B,
Monfared introduced the θ− Lau product structure A× θ B. In this paper, we investigate and …

Given Banach algebras $ A $ and $ B $ with $\theta\in\Delta (B) $. We shall study the
Johnson pseudo-contractibility and pseudo-amenability of $\theta $-Lau product $ A\times …