scholarly journals Topological Hochschild (σ, τ )-Cohomology Groups and (σ, τ )-Super Weak amenability of banach algebras

2020 ◽  
Vol 44 (1) ◽  
pp. 145-156
Author(s):  
ABOLFAZL NIAZI MOTLAGH ◽  
◽  
MARYAM KHOSRAVI ◽  
ABASALT BODAGHI
Keyword(s):  
Banach Algebras ◽  
Cohomology Groups ◽  
Weak Amenability

n-Approximately Weak Amenability of Banach Algebras

2009 ◽  
Vol 9 (8) ◽  
pp. 1482-1488
Author(s):  
H. Najafi ◽  
T. Yazdanpana
Keyword(s):  
Banach Algebras ◽  
Weak Amenability

3-Weak amenability of (2n)th duals of Banach algebras

2012 ◽  
Vol 128 (1) ◽  
pp. 25-33
Author(s):  
Mina Ettefagh
Keyword(s):  
Banach Algebras ◽  
Weak Amenability

Biprojectivity and weak amenability of some Banach algebras

2011 ◽  
pp. 207-216
Author(s):  
Hadidreza Rahimi ◽  
Majid Ghahramani ◽  
Sahar Moayeri
Keyword(s):  
Banach Algebras ◽  
Weak Amenability

scholarly journals Generalized module extension Banach algebras: Derivations and weak amenability

2017 ◽  
Vol 40 (4) ◽  
pp. 451-465 ◽  
Author(s):  
M. Ramezanpour ◽  
S. Barootkoob
Keyword(s):  
Banach Algebras ◽  
Weak Amenability ◽  
Module Extension

scholarly journals Weak amenability of triangular Banach algebras

2001 ◽  
Vol 354 (4) ◽  
pp. 1435-1452 ◽  
Author(s):  
B. E. Forrest ◽  
L. W. Marcoux
Keyword(s):  
Banach Algebras ◽  
Weak Amenability ◽  
Triangular Banach Algebras

scholarly journals Amenability and topological centres of the second duals of Banach algebras

2002 ◽  
Vol 65 (2) ◽  
pp. 191-197 ◽  
Author(s):  
F. Ghahramani ◽  
J. Laali
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Dual Algebra ◽  
Arens Product ◽  
Weak Amenability ◽  
Arens Regularity ◽  
Second Dual

Let  be a Banach algebra and let ** be the second dual algebra of  endowed with the first or the second Arens product. We investigate relations between amenability of ** and Arens regularity of  and the rôle topological centres in amenability of **. We also find conditions under which weak amenability of ** implies weak amenability of .

scholarly journals Homology and cohomology groups of commutative Banach algebras and analytic polydiscs

2000 ◽  
Vol 42 (1) ◽  
pp. 15-24
Author(s):  
L. I. Pugach ◽  
M. C. White
Keyword(s):  
Banach Algebra ◽  
Maximal Ideal ◽  
Deformation Theory ◽  
Banach Algebras ◽  
Subject Classification ◽  
Analytic Structure ◽  
Homological Dimension ◽  
Cohomology Groups ◽  
Main Method ◽  
Commutative Banach Algebras

In this paper we deduce the existence of analytic structure in a neighbourhood of a maximal ideal M in the spectrum of a commutative Banach algebra, A, from homological assumptions. We assume properties of certain of the cohomology groups H^n(A,A/M), rather than the stronger conditions on the homological dimension of the maximal ideal the first author has considered in previous papers. The conclusion is correspondingly weaker: in the previous work one deduces the existence of a Gel'fand neighbourhood with analytic structure, here we deduce only the existence of a metric neighbourhood with analytic structure. The main method is to consider products of certain co-cycles to deduce facts about the symmetric second cohomology, which is known to be related to the deformation theory of algebras.1991 Mathematics Subject Classification. 46J20, 46M20.

scholarly journals Approximate and weak amenability of certain Banach algebras

2010 ◽  
Vol 197 (2) ◽  
pp. 195-204 ◽  
Author(s):  
P. Bharucha ◽  
R. J. Loy
Keyword(s):  
Banach Algebras ◽  
Weak Amenability
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