Orthogonal decompositions in Hilbert -modules and stationary processes.
Orthogonal Forms and Probability in von Neumann Algebras.
Orthogonal harmonic analysis of fractal measures.
Orthogonal scalar products on von Neumann algebras
Orthogonal vector measures on projection lattices in a Hilbert space
Orthogonally additive mappings on Hilbert modules
We study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over 𝓚(𝓗) or 𝓗𝓢(𝓗) to a complex normed space is of the form f(x) = T(x) + Φ(⟨x,x⟩) for all x ∈ W, where T is a continuous additive mapping, and Φ is a continuous linear mapping.
Outer automorphisms of injective C*-algebras.
Outer conjugacy classes of automorphisms of factors
Outers for noncommutative revisited
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...
Parabolic variational inequalities with generalized reflecting directions
We study, in a Hilbert framework, some abstract parabolic variational inequalities, governed by reflecting subgradients with multiplicative perturbation, of the following type: y´(t)+ Ay(t)+0.t Θ(t,y(t)) ∂φ(y(t))∋f(t,y(t)),y(0) = y0,t ∈[0,T] where A is a linear self-adjoint operator, ∂φ is the subdifferential operator of a proper lower semicontinuous convex function φ defined on a suitable Hilbert space, and Θ is the perturbing term which acts on the set of reflecting directions, destroying the...
Partial *-algebras of closed operators and their commutants. I. General structure
Partial *-algebras of closed operators and their commutants. II. Commutants and bicommutants
Partial Hilbert spaces and amplitude functions
Partial isometries and EP elements in rings with involution.
Partition-dependent stochastic measures and -deformed cumulants.
Permanence properties of -exact groups.
Permanence properties of the Baum-Connes conjecture.
Perturbation of Operator Algebras.
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert
Perturbations compactes des représentations d'un groupe dans un espace de Hilbert. II
Soit une application d’un groupe dans le groupe des opérateurs unitaires sur un espace de Hilbert. Si est un opérateur compact pour tous , quelles sont les obstructions à l’existence d’un homomorphisme avec compact pour tout ? Nous étudions ici les cas où est une somme amalgamée de groupes finis et où est un produit semi-direct d’un groupe fini par .