On closed graph theorems in topological spaces and groups
On closedness and simple connectedness of adjoint and coadjoint orbits.
On coincidence of p-module of a family of curves and p-capacity on the Carnot group.
The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint non-empty...
On commutative approximate identities and cyclic vectors of induced representations
On commutators on nilpotent Lie group
ON COMPACT AFFINE SEMIGROUPS.
On compact elements in solvable Lie groups
On compact locally connected semigroups with identity.
On compact -semigroups
On compact orbits in singular Kähler spaces
For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.
On compact regular semigroups of complex matrices.
On compactification lattices of subsemigroups of .
On compactifying semigroups.
On complex structures in 8-dimensional vector bundles.
On compressed ideals in topological semigroups
On concentrated probabilities
Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence such that for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological...
On concentrated probabilities on non locally compact groups
Let be a Polish group with an invariant metric. We characterize those probability measures on so that there exist a sequence and a compact set with for all .
On connected unars with regular endomorphism monoids
On continuity of measurable group representations and homomorphisms
Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space ℒ(H) of bounded linear operators on H with the weak operator topology. We prove that if U is a measurable map from G to ℒ(H) then it is continuous. This result was known before for separable H. We also prove that the following statement is consistent with ZFC: every measurable homomorphism from a locally compact group into any topological group is continuous.
On convergence groupoids