Erratum to the paper "Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm" (Colloq. Math. 65 (1993), 157-164)
Espaces collectivement localement convexes
Espaces de Banach contenant , d’après H. P. Rosenthal
Espaces de Banach séparables contenant
Espaces localement convexes semi-faibles
Espaces parfaits dans une dualité séparante sur un corps valué non-archimédien.
Espacios de Orlicz de sucesiones con pesos conteniendo a l∞.
Espacios semi-escalonados con valores y escalones vectoriales.
Estructuras ordenadas relacionadas con el teorema de la gráfica cerrada.
Étude des fonctions affines boréliennes sur la boule unité de
Every nonreflexive Banach lattice has the packaging constant equal to 1/2.
Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
Examples of separable spaces which do not contain and whose duals are non-separable
Existence of bases and the dual splitting relation for Fréchet spaces
Extension maps in ultradifferentiable and ultraholomorphic function spaces
The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for -spaces. We get a Ritt type improvement, i.e. from 0 to sectors of the Riemann surface of the function log for spaces of ultraholomorphic functions, by first establishing a generalization to some nonclassical ultradifferentiable function spaces.
Extreme Contraction Operators on l...
Factoring Operators through c0 .
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 through Inclusion Mappings between Ip-Spaces.