The object of the present article is to develop, in a natural way as possible, a cohomology for Jordan operator algebras. We introduce two notions of amenability of Jordan C * -algebras and study module derivations of tensor products and nuclear JB...

We show that for n geq 2 , n-weak amenability of the second dual A^** of a Banach algebra A implies that

of A. We also provide a positive answer for the case n=1, which sharpens some older results. Our

method of proof also provides...

(a)-\\\\tau(a)\\\\cdot x\\\\,\\\\,(a\\\\in {\\\\mathcal A})$ or

$D_x^ +(a)=x\\\\cdot \\\\sigma(a)+\\\\tau(a)\\\\cdot x \\\\,\\\\,(a\\\\in {\\\\mathcal A})$.

A Banach algebra ${\\\\mathcal A}$ is called $(\\\\sigma,\\\\tau)$-amenable

if every...

from the perspective of shiite jurisprudence saying amen is not permitted in prayer while sunni jurists believe that is obligatory.shia jurists refer to some general and specific hadith to announce the prohibition; when the tendency to abomination...

Character inner amenability for a certain class of Banach algebras includ-

ing projective tensor products, Lau products and module extensions is investigated. Some

illuminating examples are given....

Given Banach algebras A and B; let 0\\theta be a character on B. We ex-

plain explicitly the derivations from 0

Let A be a Banach space and let φ ∈ A^× be non-zero with φ ≤ 1.

The product a · b = ⟨φ, a⟩ b makes A into a Banach algebra. We denote it by

φA. Some of the properties of φA such as Arens regularity, n-weak amenability

and semi...

Some questions on the weak amenability of bidual of

a Banach algebra are investigated....

A surjective bounded homomorphism fails to preserve n -weak

amenability, in general. We however show that it preserves the

property if the involved homomorphism enjoys a right inverse. We

examine this fact for certain...

We investigate the notion of character inner amenability for the projective tensor product of Banach algebras....