scholarly journals Character amenability and contractibility of some Banach algebras on left coset spaces

2016 ◽  
Vol 7 (4) ◽  
pp. 564-572
Author(s):  
M. Ramezanpour ◽  
N. Tavallaei ◽  
B. Olfatian Gillan
Keyword(s):  
Banach Algebras ◽  
Left Coset ◽  
Character Amenability ◽  
Coset Spaces

scholarly journals On character amenability of Banach algebras

2008 ◽  
Vol 344 (2) ◽  
pp. 942-955 ◽  
Author(s):  
E. Kaniuth ◽  
A.T. Lau ◽  
J. Pym
Keyword(s):  
Banach Algebras ◽  
Character Amenability

Character Amenability of Lipschitz Algebras

2014 ◽  
Vol 57 (1) ◽  
pp. 37-41 ◽  
Author(s):  
Mahshid Dashti ◽  
Rasoul Nasr-Isfahani ◽  
Sima Soltani Renani
Keyword(s):  
Metric Space ◽  
Banach Algebras ◽  
Locally Compact ◽  
Compact Metric Space ◽  
Character Amenability

AbstractLet be a locally compact metric space and let 𝒜 be any of the Lipschitz algebras , , or . In this paper, we show, as a consequence of rather more general results on Banach algebras, that 𝒜 is C-character amenable if and only if is uniformly discrete.

Module character amenability of Banach algebras

2012 ◽  
Vol 99 (4) ◽  
pp. 353-365 ◽  
Author(s):  
Abasalt Bodaghi ◽  
Massoud Amini
Keyword(s):  
Banach Algebras ◽  
Character Amenability

scholarly journals Approximate essential character amenability of Banach algebras

2019 ◽  
Vol 38 (3) ◽  
pp. 71-78
Author(s):  
Behrouz Shojaee
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Character Amenability

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.

scholarly journals ESSENTIAL CHARACTER AMENABILITY OF BANACH ALGEBRAS

2011 ◽  
Vol 84 (3) ◽  
pp. 372-386 ◽  
Author(s):  
RASOUL NASR-ISFAHANI ◽  
MEHDI NEMATI
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Cambridge Philos ◽  
Character Amenability

AbstractFor a Banach algebra 𝒜 and a character ϕ on 𝒜, we introduce and study the notion of essential ϕ-amenability of 𝒜. We give some examples to show that the class of essentially ϕ-amenable Banach algebras is larger than that of ϕ-amenable Banach algebras introduced by Kaniuth et al. [‘On ϕ-amenability of Banach algebras’, Math. Proc. Cambridge Philos. Soc.144 (2008), 85–96]. Finally, we characterize the essential ϕ-amenability of various Banach algebras related to locally compact groups.

scholarly journals Module amenability, module character biprojectivity and module character biflatness of lau product of two Banach algebras

Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6627-6641
Author(s):  
H. Sadeghi ◽  
Bami Lashkarizadeh
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Module Amenability ◽  
Character Amenability ◽  
Module Homomorphism ◽  
Approximate Amenability

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.

ϕ-amenability and character amenability of Fréchet algebras

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

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.

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