Some results on the duals of the inductive and projective limits of Moscatelli type.
Yolanda Meléndez (1992)
Extracta Mathematicae
Similarity:
Yolanda Meléndez (1992)
Extracta Mathematicae
Similarity:
Iyahen, S.O. (1989)
Portugaliae mathematica
Similarity:
Bonet, J., Dierolf, S., Fernández, C. (1992)
Portugaliae mathematica
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. ...
Andreas Defant, Klaus Floret (1984)
Collectanea Mathematica
Similarity:
Kadelburg, Zoran, Radenović, Stojan (1990)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
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...
Angela A. Albanese (2003)
RACSAM
Similarity:
Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
Qiu, Jing Hui, McKennon, Kelly (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ferrer, J.R., López Pellicer, M., Sánchez Ruiz, L.M. (1992)
Portugaliae mathematica
Similarity: