On the quasinormability of Hb (U).
José M. Ansemil (1994)
Extracta Mathematicae
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José M. Ansemil (1994)
Extracta Mathematicae
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José M. Ansemil (1997)
Extracta Mathematicae
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José M. Ansemi, Socorro Ponte (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Fernando Blasco (1996)
Extracta Mathematicae
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Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].
Juan A. López Molina, María José Rivera Ortún (1990)
Extracta Mathematicae
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The positive and negative results related to the problem of topologies of Grothendieck [2] have given many information on the projective and injective tensor products of Fréchet and DF-spaces. The purpose of this paper is to give some results about analogous questions in αpq-Lapresté's tensor products [4, chapitre 1] and in spaces of dominated operators Pietsch [5] for a class of Fréchet spaces having a certain kind of decomposition studied dy Bonet and Díaz [1] called...
Klaus D. Bierstedt, José Bonet (2003)
RACSAM
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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?. ...
Klaus-Dieter. Bierstedt, José Bonet (1989)
Revista Matemática de la Universidad Complutense de Madrid
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We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.
Andreas Defant, Klaus Floret (1984)
Collectanea Mathematica
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José Bonet, Juan Carlos Díaz, Jari Taskinen (1991)
Collectanea Mathematica
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In this paper we introduce and investigate classes of Fréchet and (DF)-spaces which constitute a very general frame in which the problem of topologies of Grothendieck and some related dual questions have a positive answer. Many examples of spaces in theses classes are provided, in particular spaces of sequences and functions. New counterexamples to the problems of Grothendieck are given.