F. Riesz a matematika dvacátého století
Faces complémentables dans un cône
Facial Structure of the Sum of Two Compact Convex Sets.
Facial structures of separable and PPT states
A positive semi-definite block matrix (a state if it is normalized) is said to be separable if it is the sum of simple tensors of positive semi-definite matrices. A state is said to be entangled if it is not separable. It is very difficult to detect the border between separable and entangled states. The PPT (positive partial transpose) criterion tells us that the partial transpose of a separable state is again positive semi-definite, as was observed by M. D. Choi in 1982 from...
Facial Topologies for Subspaces of C(X).
Facteurs de type III
Factor representations of diffeomorphism groups
We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in operator algebras....
Factorable and strictly singular operators in a product space
Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.
Factoriality of von Neumann algebras connected with general commutation relations-finite dimensional case
We study a certain class of von Neumann algebras generated by selfadjoint elements , where satisfy the general commutation relations: . We assume that the operator T for which the constants are matrix coefficients satisfies the braid relation. Such algebras were investigated in [BSp] and [K] where the positivity of the Fock representation and factoriality in the case of infinite dimensional underlying space were shown. In this paper we prove that under certain conditions on the number of generators...
Factoring Operators Through Banach Lattices Not Containing C(0, 1).
Factoring Operators through c0 .
Factoring Rosenthal operators.
In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l1.
Factoring the identity operator on a subspace of
Factoring unconditionally converging operators
Factoring weakly compact homomorphisms, interpolation of Banach algebras and multilinear interpolation
We review several results on interpolation of Banach algebras and factorization of weakly compact homomorphisms. We also establish a new result on interpolation of multilinear operators.
Factorisation des applications -sommantes
Factorisation des isomorphies d’ordre des espaces
Factorisation des propriétés de Banach-Saks
Factorisation d'opérateurs aléatoires, d'après Benyamini et Gordon