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math.FA2021

Weakly Connes amenable dual Banach algebras

Amin Mahmoodi

We shall develop a notion of amenability for dual Banach algebras, namely weak Connes amenability, which will play the role that weak amenability does for usual Banach algebras

math.FA2017

Pointwise amenable, non-amenable Banach algebras

Sara Behnamian, Amin Mahmoodi

It is shown that a pointwise amenable Banach algebra need not be amenable. This positively answer a question raised by Dales, Ghahramani and Loy.

math.FA2017

Pointwise amenability for dual Banach algebras

Mannane Shakeri, Amin Mahmoodi

We shall develop two notions of pointwise amenability, namely pointwise Connes amenability and pointwise -approximate Connes amenability, for dual Banach algebras which take t…

math.FA2017

On pseudo-amenability of Beurling algebras

Kobra Oustad, Amin Mahmoodi

Amenability and pseudo-amenability of is characterized, where is a left (right) zero semigroup or it is a rectangular band semigroup. The equivalence conditio…

math.FA2017

-contractibility and -Connes amenability coincide with some older notions

Amin Mahmoodi

It is shown that various definitions of -Connes amenability as introduced independently in \cite{Gh-Ja, mah, Sh-Am}, are just rediscovering existing notions and presenting them…

math.FA2017

Biflat-like Banach algebras

Sanaz Haddad sabzevar, Amin Mahmoodi

Given a Banach algebra and a continuous homomorphism on it, the notion of -biflatness for is introduced. This is a generalization of biflatne…