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

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

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 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

Weak Amenability of a Class of Banach Algebras

2001 ◽  
Vol 44 (4) ◽  
pp. 504-508 ◽  
Author(s):  
Yong Zhang
Keyword(s):  
Banach Algebra ◽  
Left Ideal ◽  
Banach Algebras ◽  
Approximate Identity ◽  
Dual Algebra ◽  
Weak Amenability ◽  
Second Dual

AbstractWe show that, if a Banach algebra is a left ideal in its second dual algebra and has a left bounded approximate identity, then the weak amenability of implies the (2m+ 1)-weak amenability of for all m ≥ 1.

scholarly journals Weak and cyclic amenability for non-commutative Banach algebras

1992 ◽  
Vol 35 (2) ◽  
pp. 315-328 ◽  
Author(s):  
Niels Grønbæk
Keyword(s):  
Free Product ◽  
Hochschild Cohomology ◽  
Banach Algebras ◽  
Cyclic Cohomology ◽  
Free Products ◽  
Weak Amenability ◽  
Commutative Banach Algebras

This paper is concerned with two notions of cohomological triviality for Banach algebras, weak amenability and cyclic amenability. The first is defined within Hochschild cohomology and the latter within cyclic cohomology. Our main result is that where ℱ is a Banach algebraic free product of two Banach algebras and ℬ. It follows that cyclic amenability is preserved under the formation of free products.

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