Tensor stable Fréchet and (DF)-spaces.

José Bonet; Juan Carlos Díaz; Jari Taskinen

Collectanea Mathematica (1991)

  • Volume: 42, Issue: 3, page 199-236
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Bonet, José, Díaz, Juan Carlos, and Taskinen, Jari. "Tensor stable Fréchet and (DF)-spaces.." Collectanea Mathematica 42.3 (1991): 199-236. <http://eudml.org/doc/42528>.

@article{Bonet1991,
abstract = {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.},
author = {Bonet, José, Díaz, Juan Carlos, Taskinen, Jari},
journal = {Collectanea Mathematica},
keywords = {Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacios DF; Fréchet and (DF)-spaces; problem of topologies of Grothendieck; dual questions},
language = {eng},
number = {3},
pages = {199-236},
title = {Tensor stable Fréchet and (DF)-spaces.},
url = {http://eudml.org/doc/42528},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Bonet, José
AU - Díaz, Juan Carlos
AU - Taskinen, Jari
TI - Tensor stable Fréchet and (DF)-spaces.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 3
SP - 199
EP - 236
AB - 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.
LA - eng
KW - Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacios DF; Fréchet and (DF)-spaces; problem of topologies of Grothendieck; dual questions
UR - http://eudml.org/doc/42528
ER -

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