Fréchet spaces of Moscatelli type.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
José Bonet, Susanne Dierolf, Carmen Fernández (1989)
Publicacions Matemàtiques
Similarity:
Let L be a normal Banach sequence space such that every element in L is the limit of its sections and let E = ind E be a separated inductive limit of the locally convex spaces. Then ind L(E) is a topological subspace of L(E).
Bosch, C., Kučera, J., McKennon, K. (1983)
International Journal of Mathematics and Mathematical Sciences
Similarity:
S. Dierolf, P. Domański (1993)
Studia Mathematica
Similarity:
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. ...
Iyahen, S.O. (1989)
Portugaliae mathematica
Similarity:
Klaus D. Bierstedt, José Bonet (2001)
RACSAM
Similarity:
En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = ind E un espacio (LF), ponemos H = ind H para una sucesión de subespacios de Fréchet H de E con H ⊂ H. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H')' o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...
Klaus D. Bierstedt, José Bonet (2003)
RACSAM
Similarity:
We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?. ...
Susanne Dierolf (1993)
Collectanea Mathematica
Similarity:
We exhibit a general method to show that for several classes of Fréchet spaces the Three-space-problem fails. This method works for instance for the class of distinguished Fréchet spaces, for Fréchet spaces with the density condition and also for dual Fréchet spaces (which gives a negative answer to a question of D. Vogt). An example of a Banach space, which is not a dual Banach space but the strong dual of a DF-space, shows that there are two real different possibilities of defining...
Andreas Defant, Klaus Floret (1984)
Collectanea Mathematica
Similarity:
Bonet, J., Dierolf, S., Fernández, C. (1992)
Portugaliae mathematica
Similarity: