Closed subgroups of nuclear spaces are weakly closed
Connectivity and Supernormality Results for Hypergroups.
Continuity of Operators Commuting with Translations for Compact Groups.
Convolution Semigroups and Resolvent Families of Measures on Hypergroups.
Correction to the paper "The structure space of the trigonometric polynomials on a comapct group".
Countable products of LCA groups: their closed subgroups, quotients and duality properties
Dual algebras.
Dual spaces and translation invariant means on group von Neumann algebras
Let G be a locally compact group. Its dual space, G*, is the set of all extreme points of the set of normalized continuous positive definite functions of G. In the early 1970s, Granirer and Rudin proved independently that if G is amenable as discrete, then G is discrete if and only if all the translation invariant means on are topologically invariant. In this paper, we define and study G*-translation operators on VN(G) via G* and investigate the problem of the existence of G*-translation invariant...
Dualité, et transformation de Fourier -adiques
Dualité et transformation de Fourier p-adiques
Duals of Orbit Spaces in Groups With Relatively Compact Inner Automorphism Groups Are Hypergroups.
Duals of subhypergroups and quotients of commutative hypergroups.
Erratum to the Paper: A Uniform Boundedness Principle for Compact Sets and the Decay of Fourier Transforms.
Espaces relatifs à une famille de mesures
Étude de l’intersection pour un ensemble de mesures positives bornées sur un espace (ou un groupe commutatif) localement compact.Pour un espace localement compact, on étudie les rapports entre les propriétés de compacité de , la densité de certains sous-espaces, le dual et le bidual de ces sous-espaces, la compacité des applications canoniques.Pour un groupe commutatif localement compact de dual , certaines de ces propriétés sont liées à la continuité de l’application et à la compacité relative...
Functions of Bounded Variation on Idempotent Semigroups:
Group reflection and precompact paratopological groups
We construct a precompact completely regular paratopological Abelian group G of size (2ω)+ such that all subsets of G of cardinality ≤ 2ω are closed. This shows that Protasov’s theorem on non-closed discrete subsets of precompact topological groups cannot be extended to paratopological groups. We also prove that the group reflection of the product of an arbitrary family of paratopological (even semitopological) groups is topologically isomorphic to the product of the group reflections of the factors,...
Harmonic analysis and centers of Beurling algebras.
Helical maps from LCA-groups into Hilbert spaces.
Homomorphisms of commutative Banach algebras and extensions to multiplier algebras with applications to Fourier algebras
Let A and B be semisimple commutative Banach algebras with bounded approximate identities. We investigate the problem of extending a homomorphism φ: A → B to a homomorphism of the multiplier algebras M(A) and M(B) of A and B, respectively. Various sufficient conditions in terms of B (or B and φ) are given that allow the construction of such extensions. We exhibit a number of classes of Banach algebras to which these criteria apply. In addition, we prove a polar decomposition for homomorphisms from...
Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen.