The Wiener Property for a Class of Discrete Hypergroups.
Totally convex algebras
By definition a totally convex algebra is a totally convex space equipped with an associative multiplication, i.eȧ morphism of totally convex spaces. In this paper we introduce, for such algebras, the notions of ideal, tensor product, unitization, inverses, weak inverses, quasi-inverses, weak quasi-inverses and the spectrum of an element and investigate them in detail. This leads to a considerable generalization of the corresponding notions and results in the theory of Banach spaces.
Transitivity for linear operators on a Banach space
Let G be the multiplicative group of invertible elements of E(X), the algebra of all bounded linear operators on a Banach space X. In 1945 Mackey showed that if and are any two sets of linearly independent elements of X with the same number of items, then there exists T ∈ G so that , . We prove that some proper multiplicative subgroups of G have this property.
Über die Zerlegung von Operatoren in topologischen direkten Integralen von Hilberträumen.
Unbounded -seminorms, biweights, and -representations of partial -algebras: A review.
Unbounded representations of a *-algebra on indefinite metric space
Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms
The existence of unbounded *-representations of (locally convex) tensor product *-algebras is investigated, in terms of the existence of unbounded *-representations of the (locally convex) factors of the tensor product and vice versa.
When is there a discontinuous homomorphism from L¹(G)?
Let A be an A*-algebra with enveloping C*-algebra C*(A). We show that, under certain conditions, a homomorphism from C*(A) into a Banach algebra is continuous if and only if its restriction to A is continuous. We apply this result to the question in the title.
Wiener's inversion theorem for a certain class of *-algebras
We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.
Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in der Lp-Theorie.
-algèbres, probabilités non commutatives et applications
Безграничноделимые состояния, коциклы и условно положительные функционалы на алгебрах
Представления *-алгебр с двумя образующими и полиномиальными соотношениями
Продолжение L-изометрий