character amenability
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2019 ◽  
Vol 38 (3) ◽  
pp. 71-78
Author(s):  
Behrouz Shojaee

Let A be a Banach algebra and ' be a character on A. The notions of approximate essential '-amenability  and approximate essential character '-amenability of A are introduced and some properties of such algebras are investigated. Then by means of some examples the distinctions between this new notions and essentially -amenability for A are shown.



2019 ◽  
Vol 12 (4) ◽  
pp. 517-524
Author(s):  
R. Gholami ◽  
H. Rahimi




Author(s):  
Olufemi J. Ogunsola ◽  
Ifeyinwa E. Daniel

Abstract In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra $l_r^1(S)$ and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semi-groups such as Brandt semigroup, and Clifford semigroup. We particularly show the equivalence between pseudo-amenability and character amenability of restricted semigroup algebra on a Clifford semigroup and semigroup algebra on a restricted semigroup. Moreover, we show that when S = M0(G, I)is a Brandt semigroup, pseudo-amenability of l1(Sr) is equivalent to its pseudo-contractibility.



2018 ◽  
Vol 30 (6) ◽  
pp. 1413-1435
Author(s):  
Fatemeh Abtahi ◽  
Somaye Rahnama ◽  
Ali Rejali

AbstractRight φ-amenability and right character amenability have been introduced for Banach algebras. Here, these concepts will be generalized for Fréchet algebras. Then some of the previous available results about right φ-amenability and right character amenability for the case of Banach algebras will be verified for Fréchet algebras. Related results about Segal Fréchet algebras are provided.



Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6627-6641
Author(s):  
H. Sadeghi ◽  
Bami Lashkarizadeh

Let A be a Banach algebra and T be an U-module homomorphism from U-bimodule B into U-bimodule A. We investigate module amenability (resp. module approximate amenability), module character amenability (resp. module character approximate amenability), module character biprojectivity and module character biflatness of A x Tu B for every two Banach U-bimodule A and B.



2017 ◽  
Vol 60 (4) ◽  
pp. 673-689
Author(s):  
Fatemeh Abtahi ◽  
Mohsen Azizi, ◽  
Ali Rejali

AbstractLet (X, d) be ametric space and letJ⊆ [0,∞) be nonempty. We study the structure of the arbitrary intersections of Lipschitz algebras and define a special Banach subalgebra of ∩y∊JLipyX, denoted by ILipJX. Mainly, we investigate theC-character amenability of ILipJX, in particular Lipschitz algebras. We address a gap in the proof of a recent result in this field. Then we remove this gap and obtain a necessary and suõcient condition forC-character amenability of ILipJX, specially Lipschitz algebras, under an additional assumption.



Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1639-1654 ◽  
Author(s):  
Abasalt Bodaghi ◽  
Hamzeh Ebrahimi ◽  
Mahmood Bami Lashkarizadeh


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