Tensor stable Fréchet and (DF)-spaces

• Autores: J. Bonet, Juan Carlos Díaz Alcaide, Jari Taskinen
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 3, 1991, págs. 199-236
• Idioma: inglés
• Títulos paralelos:
  • Espacios de Fréchet y espacios DF estables de tensores
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• Resumen

  • 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.