Extreme Points in Duals of Operator Spaces.
Extreme points in spaces of operators and vector – valued measures
Extreme Points of a Convex Subset of the Cone of Positive Semidefinite Matrices.
Extreme Points of Convex Sets.
Extreme Punkte in der Einheitskugel des Vektorraumes der trigonometrischen Prolynome.
Faces complémentables dans un cône
Facial Structure of the Sum of Two Compact Convex Sets.
Factoring Operators through c0 .
Factorization in Fréchet spaces
Factorization in some Fréchet algebras of differentiable functions
Factorization of compact operators and finite representability of Banach spaces with applications to Schwartz spaces
Factorization of mappings and general existence theorems in locally convex spaces
Factorization of Montel operators
Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
Factorization of unbounded operators on Köthe spaces
The main result is that the existence of an unbounded continuous linear operator T between Köthe spaces λ(A) and λ(C) which factors through a third Köthe space λ(B) causes the existence of an unbounded continuous quasidiagonal operator from λ(A) into λ(C) factoring through λ(B) as a product of two continuous quasidiagonal operators. This fact is a factorized analogue of the Dragilev theorem [3, 6, 7, 2] about the quasidiagonal characterization of the relation (λ(A),λ(B)) ∈ ℬ (which means that all...
Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
Factorization through Inclusion Mappings between Ip-Spaces.
Familles absolument sommables et propriété de Radon-Nikodym
Familles sommables dans les espaces vectoriels topologiques.
Let E and F be two vector spaces in separating duality. Let us consider T0, the uniform convergence topology on E on the partial sums of families of F which are weakly summable to 0 in F; then, if (E',T'0) is the completion of (E,T0), the finest locally convex topology T on F for which all the weakly summable families in F are also T-summable, is the uniform convergence topology on...
Faserungen von Fahnenmengen
Fast complete locally convex linear topological spaces.