Some applications of projective tensor products to holomorphy.
José M. Ansemi, Socorro Ponte (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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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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José M. Ansemil (1994)
Extracta Mathematicae
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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.
José Bonet, Susanne Dierolf (1996)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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The purpose of this note is to give an example of a distinguished Fréchet space and a non-distinguished Fréchet space which have the same inductive dual. Accordingly, distinguishedness is a property which is not reflected in the inductive dual. In contrast to this example, it was known that the properties of being quasinormable or having the density condition can be characterized in terms of the inductive dual of a Fréchet space.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
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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.
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].
J. Krzyż (1962)
Annales Polonici Mathematici
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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...