Über die Ecken des numerischen Wertebereiches in einer Banachalgebra. II.
Weak amenability of the second dual of a Banach algebra
It is known that a Banach algebra inherits amenability from its second Banach dual **. No example is yet known whether this fails if one considers the weak amenability instead, but the property is known to hold for the group algebra L¹(G), the Fourier algebra A(G) when G is amenable, the Banach algebras which are left ideals in **, the dual Banach algebras, and the Banach algebras which are Arens regular and have every derivation from into * weakly compact. In this paper, we extend this class of...
Weak amenability of weighted group algebras on some discrete groups
Weak amenability of ℓ¹(G,ω) for commutative groups G was completely characterized by N. Gronbaek in 1989. In this paper, we study weak amenability of ℓ¹(G,ω) for two important non-commutative locally compact groups G: the free group ₂, which is non-amenable, and the amenable (ax + b)-group. We show that the condition that characterizes weak amenability of ℓ¹(G,ω) for commutative groups G remains necessary for the non-commutative case, but it is sufficient neither for ℓ¹(₂,ω) nor for ℓ¹((ax + b),ω)...
Weak-continuous derivations in dual Banach algebras
Let be a dual Banach algebra. We investigate the first weak-continuous cohomology group of with coefficients in . Hence, we obtain conditions on for which
Weighted convolution algebras on subsemigroups of the real line [Book]
When a composition algebra is barrelled?
Малые полугруппы в топологических алгебрах.
О задаче факторизации в абстрактных банаховых алгебрах. I. Распадающиеся алгебры
О задаче факторизации в абстрактных банаховых алгебрах. II. Нераспадающиеся алгебры