Papers by Fereidoun Habibian
Complex Analysis and Operator Theory
International Mathematical Forum, 2007
In this paper we study the ideal amenability of second duals of Banach algebras. We investigate r... more In this paper we study the ideal amenability of second duals of Banach algebras. We investigate relations between ideal amenability of the second dual of a Banach algebra with the first and the second Arens products.
Archivum Mathematicum, 2012
Let A be a dual Banach algebra. We investigate the first weak *-continuous cohomology group of A ... more Let A be a dual Banach algebra. We investigate the first weak *-continuous cohomology group of A with coefficients in A. Hence, we obtain conditions on A for which H 1 w * (A, A) = {0} .
Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the fir... more 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 zero, i.e. H 1 (A, I *) = {0}. Some examples show that ideal amenability is different from weak amenability and amenability. Also for n ∈ N, A is called n-ideally amenable if for every closed ideal I of A, H 1 (A, I (n)) = {0}. In this paper we find the necessary and sufficient conditions for a module extension Banach algebra to be 2-ideally amenable.
Glasgow Mathematical Journal, 2010
We give sufficient conditions and necessary conditions for a Banach algebra, which is ℓ1-graded o... more We give sufficient conditions and necessary conditions for a Banach algebra, which is ℓ1-graded over a semi-lattice, to be biflat or biprojective. As an application we characterise biflat and biprojective discrete convolution algebras for commutative semi-groups.
In this paper, the necessary and sufficient conditions are considered for biprojectivity of Banac... more In this paper, the necessary and sufficient conditions are considered for biprojectivity of Banach algebras Ep(I). As an application, we investigate biprojectivity of convolution Banach algebras A(G) and L(G) on a compact group G.
This work was intended as an attempt to introduce and investigate the approximate ideal amenabili... more This work was intended as an attempt to introduce and investigate the approximate ideal amenability of Banach algebras. We show that the approximate ideal amenability and approximate weak amenability of matrix Banach algebra p (I) E (1≤p<∞) are equivalent. As a consequence, we prove that the convolution Banach algebra L (G) is approximately ideally amenable and, further, is ideally amenable if and only if G is finite or abelian.
Using Morita equivalence, we show that bounded Hochschild (co)-homology of $$\ell ^1$$ -Munn Bana... more Using Morita equivalence, we show that bounded Hochschild (co)-homology of $$\ell ^1$$ -Munn Banach algebras are isomorphic to those of the underlying Banach algebra A when the related sandwich matrix is invertible over Inv(A). We finally apply our result to semigroup algebras.
This paper attempts to generalize Johnson's techniques to apply them to establish a bijective cor... more This paper attempts to generalize Johnson's techniques to apply them to establish a bijective correspondence between S-derivations and continuous derivations on weighted semigroup algebra M a (S, ω), where S is a locally compact foundation semigroup with identity e, and ω is a weight function on S.
In this paper, we investigate the second order cohomology of Banach algebras Ep(I) (1 ≤ p <∞) ... more In this paper, we investigate the second order cohomology of Banach algebras Ep(I) (1 ≤ p <∞) with coefficients corresponding to characters. Consequently, the necessary and sufficient conditions are established for contractibility of these Banach algebras. As an application, we investigate weak character amenability of A(G) and contractibility of L2(G), when in either case G is a compact group.
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... 1Department of Mathematics, University of Semnan, Semnan, Iran 2Department of Mathematics, Un... more ... 1Department of Mathematics, University of Semnan, Semnan, Iran 2Department of Mathematics, University of Bu-Ali Sina, Hamedan, Iran 3Department of Mathematics, University of Isfahan, Isfahan, Iran Email: [email protected] ... Page 2. F. Habibian, H. Samea, A. Rejali 2 ...
Bulletin of the Korean Mathematical Society, 2010
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Papers by Fereidoun Habibian