The Algebraic Radical of a Normed Ideal in L1 (G).
The almost Daugavet property and translation-invariant subspaces
Let G be a metrizable, compact abelian group and let Λ be a subset of its dual group Ĝ. We show that has the almost Daugavet property if and only if Λ is an infinite set, and that has the almost Daugavet property if and only if Λ is not a Λ(1) set.
The Almost Periodic Measures on a Compact Abelian Group.
The asymptotics of spherical functions and the central limit theorem on symmetric cones
We prove a central limit theorem for certain invariant random variables on the symmetric cone in a formally real Jordan algebra. This extends form the previous results of Richards and Terras on the cone of real positive definite matrices.
The automorphism group of the random lattice is not amenable
We prove that the automorphism group of the random lattice is not amenable, and we identify the universal minimal flow for the automorphism group of the random distributive lattice.
The Banach-Tarski Paradox
The Bohr Almost Periodic Functions Do Not Form a Linear Space.
The Calderón reproducing formula associated with the Heisenberg group .
The Capelli identity and unitary representations
The cardinality of the set of invariant means on a locally compact topological semigroup
The center of an algebra of operators
The center of the convolution algebra
The characterizations of extreme amenability of locally compact semigroups.
The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth.
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of and .
The combinatorial derivation and its inverse mapping
Let G be a group and P G be the Boolean algebra of all subsets of G. A mapping Δ: P G → P G defined by Δ(A) = {g ∈ G: gA ∩ A is infinite} is called the combinatorial derivation. The mapping Δ can be considered as an analogue of the topological derivation d: P X→ P X, A ↦ A d, where X is a topological space and A d is the set of all limit points of A. We study the behaviour of subsets of G under action of Δ and its inverse mapping ∇. For example, we show that if G is infinite and I is an ideal in...
The conjugation operator on .
The conjugation representation and inner amenability of discrete groups.
The convolution equation of Choquet and Deny on semigroups
The convolution equation of Choquet and Deny and relatively invariant measures on semigroups
Choquet and Deny considered on an abelian locally compact topological group the representation of a measure as the convolution product of itself and a finite measure .In this paper, we make an attempt to find, in the case of certain locally compact semigroups, those solutions of the above equation which are relatively invariant on the support of . A characterization of relatively invariant measures on certain locally compact semigroups is also presented. Our results on the above convolution...