منابع مشابه
AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).
متن کاملSome Properties of Vector-valued Lipschitz Algebras
Let $(X,d)$ be a metric space and $Jsubseteq (0,infty)$ be a nonempty set. We study the structure of the arbitrary intersection of vector-valued Lipschitz algebras, and define a special Banach subalgebra of $cap{Lip_gamma (X,E):gammain J}$, where $E$ is a Banach algebra, denoted by $ILip_J (X,E)$. Mainly, we investigate $C-$character amenability of $ILip_J (X,E)$.
متن کاملExactly solvable potentials and quantum algebras.
Self-similar potentials and corresponding symmetry algebras are briefly discussed. The following scheme describes applications of quantum-algebraic structures within the context of ordinary quantum mechanical spectral problems. Let T be an operator of the affine transformation on line Tf(x) = √ qf(qx+ a), x ∈ R, (1) where 0 < q ≤ 1 and a ∈ R are scaling and translation parameters respectively. ...
متن کاملOn the character space of Banach vector-valued function algebras
Given a compact space $X$ and a commutative Banach algebra $A$, the character spaces of $A$-valued function algebras on $X$ are investigated. The class of natural $A$-valued function algebras, those whose characters can be described by means of characters of $A$ and point evaluation homomorphisms, is introduced and studied. For an admissible Banach $A$-valued function algebra...
متن کاملOn the character space of vector-valued Lipschitz algebras
We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we the...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1953
ISSN: 0022-2518
DOI: 10.1512/iumj.1953.2.52021