Acción dual de las copias, isométricas asintóticamente, de lp (1 ≤ p < ∞) y c0.
Acknowledgement of priority: Second derivates of convex functions.
Acyclic inductive spectra of Fréchet spaces
We provide new characterizations of acyclic inductive spectra of Fréchet spaces which improve the classical theorem of Palamodov and Retakh. It turns out that acyclicity, sequential retractivity (defined by Floret) and further strong regularity conditions (introduced e.g. by Bierstedt and Meise) are all equivalent. This solves a problem that was folklore since around 1970. For inductive limits of Fréchet-Montel spaces we obtain even stronger results, in particular, Grothendieck's problem whether...
Addendum and corrigendum to the paper "Several notions of absolute bases".
Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)
There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.
Additive selections of superadditive set-valued functions.
Additivity of the gauge
Adjoint bi-continuous semigroups and semigroups on the space of measures
For a given bi-continuous semigroup on a Banach space we define its adjoint on an appropriate closed subspace of the norm dual . Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology . We give the following application: For a Polish space we consider operator semigroups on the space of bounded, continuous functions (endowed with the compact-open topology) and on the space of bounded Baire measures (endowed with the weak-topology)....
Adjungierte Funktoren in der Kategorie der p-Bornologischen Räume.
Adjungiertenbildungen in der Operatortheorie.
Affine Baire functions on Choquet simplices
We construct a metrizable simplex X such that for each n ɛ ℕ there exists a bounded function f on ext X of Baire class n that cannot be extended to a strongly affine function of Baire class n. We show that such an example cannot be constructed via the space of harmonic functions.
Affine Flows and Distal Points.
Algebraic generation of B(X) by two subalgebras with square zero
Algèbres de fonctions à orthogonal purement atomique
Algunas propiedades de los espacios de aplicaciones continuas sobre acotados.
Algunos nuevos resultados sobre el teorema de la gráfica cerrada.
Para varios espacios localmente separados, damos aplicaciones lineales no continuas con gráficas cerradas. Uno de los resultados obtenidos contiene el teorema de Mahowald como corolario [7]. Si ε es una clase de espacios localmente convexos separados, estable para límites inductivos y conteniendo los espacios de dimensiones finitas, sea εr la clase de todos los espacios localmente convexos separados tales que si E ∈ ε, F ∈ εr y f es una aplicación lineal de E en F con gráfica cerrada, entonces f...
Algunos resultados sobre representabilidad finita de 1q (O < q ≤∞) en espacios p-Banach.
Almost approximately convex functions
Almost demi Dunford--Pettis operators on Banach lattices
We introduce new concept of almost demi Dunford–Pettis operators. Let be a Banach lattice. An operator from into is said to be almost demi Dunford–Pettis if, for every sequence in such that in and as , we have as . In addition, we study some properties of this class of operators and its relationships with others known operators.
Almost-Periodic Functions, Compactifications, and Faces of Finite-Dimensional Cones.