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
Factorisation d'un opérateur différentiel, III
Factorisation without bounded approximate identities
Factorization and domination of positive Banach-Saks operators
It is proved that every positive Banach-Saks operator T: E → F between Banach lattices E and F factors through a Banach lattice with the Banach-Saks property, provided that F has order continuous norm. By means of an example we show that this order continuity condition cannot be removed. In addition, some domination results, in the Dodds-Fremlin sense, are obtained for the class of Banach-Saks operators.
Factorization by Lattice Homomorphisms.