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If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
We answer, in the negative, the question: Does a Banach algebra inherit weak amenability from its bidual?, which was open since 1996
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 g...
Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible ele-ments and relation among invertible elements, open set, closed set are emphas...

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