On compactification lattices of subsemigroups of .
On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.
On quasi-transitive semigroup actions.
On some local topological semigroups.
On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations
On the representations of certain idempotent topological semigroups.
Pointwise periodic groups
Products of topological spaces represent any semigroup (Preliminary communication)
Projective Limits of Unitary Representations.
Representations of involutive semigroups.
Representations of Polish groups and continuity
In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
Representations of Topological Semigroups
SL(2) has no C1-extension to a half-space.
Stability of strongly continuous representations of abelian semigroups.
Strong continuity of semigroup homomorphisms
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C. We exhibit a large class of semigroups J for which every weakly continuous semigroup homomorphism T: J → L(X) is necessarily strongly continuous. Similar results are obtained for weakly continuous homomorphisms T: J → Lip(C) and for strongly measurable homomorphisms T: J → L(X).
Swelling actions of ...-compact semigroups.
The dual space of precompact groups
For any topological group the dual object is defined as the set of equivalence classes of irreducible unitary representations of equipped with the Fell topology. If is compact, is discrete. In an earlier paper we proved that is discrete for every metrizable precompact group, i.e. a dense subgroup of a compact metrizable group. We generalize this result to the case when is an almost metrizable precompact group.
The Green equivalence and dimension in compact monoids II.
The L...-representation algebra of a foundation topological semigroup.
The L...-representation algebra of an idempotent topological semigroup.