Topological modules over strictly minimal topological rings
We study the validity of two basic results of the classical theory of topological vector spaces in the context of topological modules.
Unconditional decompositions and local unconditional structures in some subspaces of , 1≤p<2
Unital strongly harmonic commutative Banach algebras
A unital commutative Banach algebra is spectrally separable if for any two distinct non-zero multiplicative linear functionals φ and ψ on it there exist a and b in such that ab = 0 and φ(a)ψ(b) ≠ 0. Spectrally separable algebras are a special subclass of strongly harmonic algebras. We prove that a unital commutative Banach algebra is spectrally separable if there are enough elements in such that the corresponding multiplication operators on have the decomposition property (δ). On the other hand,...
Vector-valued invariant means on spaces of bounded linear maps
Let 𝓐 be a Banach algebra and let ℳ be a W*-algebra. For a homomorphism Φ from 𝓐 into ℳ, we introduce and study ℳ -valued invariant Φ-means on the space of bounded linear maps from 𝓐 into ℳ. We establish several characterizations of existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ). We also study the relation between existence of an ℳ -valued invariant Φ-mean on B(𝓐,ℳ) and amenability of 𝓐. Finally, for a character ϕ of 𝓐, we give some descriptions for ϕ-amenability of 𝓐 in terms of ℳ...
Vektorwertige Funktionalkalküle.
Weak approximate identities and multipliers
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
Weak homological bidimension and its values in the class of biflat Banach algebras.
Weighted approximation and slice products of modules of continuous functions
Zur Dualität von Funktoren, die durch Funktionenräume definiert sind.
-weak character amenability of certain Banach algebras
In this paper we investigate -weak character amenability of certain Banach algebras such as projective tensor product and Lau product , where and are two arbitrary Banach algebras and , the character space of . We also investigate -weak character amenability of abstract Segal algebras and module extension Banach algebras.
Гармонический анализ косинусной и экспоненциальной операторных функций
Гомологическая сущность аменабельности по Конну: инъективность предуального бимодуля
Гомотопические свойства общей линейной группы гильбертова модуля l//2(A)
Коммутативные группы изометрий пространств Минковского
О функциональной реализации -алгебр типа I.
Об одном методе вычисления и оценки глобальной гомологической размерности банаховых алгебр
Спектральный синтез для оператора, порождаемого умножением на степень независимой переменной