Localization of bounded sets in tensor products.

A. Peris; M. J. Rivera

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 1, page 111-130
  • ISSN: 1139-1138

Abstract

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The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.

How to cite

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Peris, A., and Rivera, M. J.. "Localization of bounded sets in tensor products.." Revista Matemática de la Universidad Complutense de Madrid 9.1 (1996): 111-130. <http://eudml.org/doc/44208>.

@article{Peris1996,
abstract = {The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.},
author = {Peris, A., Rivera, M. J.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacios de Fréchet; Producto tensorial; Espacio de Grothendieck; localization of bounded sets; problem of topologies of Grothendieck; complete tensor products of Fréchet spaces; tensor norm},
language = {eng},
number = {1},
pages = {111-130},
title = {Localization of bounded sets in tensor products.},
url = {http://eudml.org/doc/44208},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Peris, A.
AU - Rivera, M. J.
TI - Localization of bounded sets in tensor products.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 1
SP - 111
EP - 130
AB - The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.
LA - eng
KW - Espacios de Fréchet; Producto tensorial; Espacio de Grothendieck; localization of bounded sets; problem of topologies of Grothendieck; complete tensor products of Fréchet spaces; tensor norm
UR - http://eudml.org/doc/44208
ER -

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