Sur l'existence des opérateurs d'onde dans la théorie algébrique de la diffusion
Symmetric Manifolds of Compact type Associated to the JB*-Triples Co (X,Z).
Symmetrization of probability measures, pushforward of order 2 and the Boolean convolution
We study relations between the Boolean convolution and the symmetrization and the pushforward of order 2. In particular we prove that if μ₁,μ₂ are probability measures on [0,∞) then and if ν₁,ν₂ are symmetric then . Finally we investigate necessary and sufficient conditions under which the latter equality holds.
Symmetrized non-commutative tori.
Symplectic models of groups with noncommutative spaces
Systèmes dynamiques non commutatifs et moyennabilité.
Szegoö-type properties in a non-commutative case
Takesaki's duality for a non-degenerate co-action.
Temperature states on gauge groups
Tensor product construction of 2-freeness
From a sequence of m-fold tensor product constructions that give a hierarchy of freeness indexed by natural numbers m we examine in detail the first non-trivial case corresponding to m=2 which we call 2-freeness. We show that in this case the constructed tensor product of states agrees with the conditionally free product for correlations of order ≤ 4. We also show how to associate with 2-freeness a cocommutative *-bialgebra.
Tensor products and joint spectra for solvable Lie algebras of operators.
Tensor products of Hilbert modules over locally -algebras
In this paper the tensor products of Hilbert modules over locally -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert -modules are also valid in the context of Hilbert modules over locally -algebras.
Tensor products with bounded continuous functions.
Teoremi di convergenza in teoria della misura non commutativa
The action of groups on real factors of type III, .
The adic realizations of the ergodic actions with the homeomorphisms of the Markov compact and the ordered Bratteli diagrams
The algebraic Riccati equation with Toeplitz matrices as coefficients.
The alternative Dunford-Pettis Property in the predual of a von Neumann algebra
Let A be a type II von Neumann algebra with predual A⁎. We prove that A⁎ does not have the alternative Dunford-Pettis property introduced by W. Freedman [7], i.e., there is a sequence (φₙ) converging weakly to φ in A⁎ with ||φₙ|| = ||φ|| = 1 for all n ∈ ℕ and a weakly null sequence (xₙ) in A such that φₙ(xₙ) ↛ 0. This answers a question posed in [7].
The arithmetic of distributions in free probability theory
We give an analytical approach to the definition of additive and multiplicative free convolutions which is based on the theory of Nevanlinna and Schur functions. We consider the set of probability distributions as a semigroup M equipped with the operation of free convolution and prove a Khintchine type theorem for the factorization of elements of this semigroup. An element of M contains either indecomposable (“prime”) factors or it belongs to a class, say I 0, of distributions without indecomposable...
The Atkinson theorem in Hilbert -modules over -algebras of compact operators.