Induced Representations and Hypergroup Homomorphisms.
Induced representations of hypergroups.
Intertwining operators over L1 (G) for G ? [PG] ? [SIN].
Invariant subsets of nonsynthesis Leptin algebras and nonsymmetry
Invariante Spuren auf Gruppenalgebren.
Involutions on the second duals of group algebras versus subamenable groups
Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.
Jets de fonctions differentiables sur le dual d'un groupe de Lie nilpotent.
Kontrahierende Erweiterungen und kontrahierbare Gruppen.
Le calcul sur les caractères de l’algèbre et le problème « fermé ?»
L...-harmonic Analysis on Semi-Direct products of Abelian Groups.
Locally convex algebras which determine a locally compact group
There are several algebras associated with a locally compact group 𝓖 which determine 𝓖 in the category of topological groups, such as L¹(𝓖), M(𝓖), and their second duals. In this article we add a fairly large family of locally convex algebras to this list. More precisely, we show that for two infinite locally compact groups 𝓖₁ and 𝓖₂, there are infinitely many locally convex topologies τ₁ and τ₂ on the measure algebras M(𝓖₁) and M(𝓖₂), respectively, such that (M(𝓖₁),τ₁)** is isometrically...
Maps preserving zero products
A linear map T from a Banach algebra A into another B preserves zero products if T(a)T(b) = 0 whenever a,b ∈ A are such that ab = 0. This paper is mainly concerned with the question of whether every continuous linear surjective map T: A → B that preserves zero products is a weighted homomorphism. We show that this is indeed the case for a large class of Banach algebras which includes group algebras. Our method involves continuous bilinear maps ϕ: A × A → X (for some Banach space X) with the property...
Mesures ε-idempotentes de norme bornée
Minimal ideals of group algebras
We first study the behavior of weights on a simply connected nilpotent Lie group G. Then for a subalgebra A of L¹(G) containing the Schwartz algebra 𝓢(G) as a dense subspace, we characterize all closed two-sided ideals of A whose hull reduces to one point which is a character.
Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials
Let p,q be positive integers. The groups and act on the Heisenberg group canonically as groups of automorphisms, where is the vector space of all complex p × q matrices. The associated orbit spaces may be identified with and respectively, being the cone of positive semidefinite matrices and the Weyl chamber . In this paper we compute the associated convolutions on and explicitly, depending on p. Moreover, we extend these convolutions by analytic continuation to series of convolution...
Multi-normed spaces [Book]
Multiplier algebras, Banach bundles, and one-parameter semigroups
Multipliers on , and for a locally compact topological semigroup.
Multipliers, self-induced and dual Banach algebras [Book]
Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren.