Quasinormability of some spaces of holomorphic mappings.

José M. Isidro

Revista Matemática de la Universidad Complutense de Madrid (1990)

  • Volume: 3, Issue: 1, page 13-17
  • ISSN: 1139-1138

Abstract

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A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.

How to cite

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Isidro, José M.. "Quasinormability of some spaces of holomorphic mappings.." Revista Matemática de la Universidad Complutense de Madrid 3.1 (1990): 13-17. <http://eudml.org/doc/43673>.

@article{Isidro1990,
abstract = {A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.},
author = {Isidro, José M.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Funciones de variable compleja; Espacios de funciones holomorfas; locally convex spaces with a special Schauder decomposition; infinite dimensional holomorphy; quasinormable; neither metrizable nor Schwartz spaces},
language = {eng},
number = {1},
pages = {13-17},
title = {Quasinormability of some spaces of holomorphic mappings.},
url = {http://eudml.org/doc/43673},
volume = {3},
year = {1990},
}

TY - JOUR
AU - Isidro, José M.
TI - Quasinormability of some spaces of holomorphic mappings.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1990
VL - 3
IS - 1
SP - 13
EP - 17
AB - A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.
LA - eng
KW - Funciones de variable compleja; Espacios de funciones holomorfas; locally convex spaces with a special Schauder decomposition; infinite dimensional holomorphy; quasinormable; neither metrizable nor Schwartz spaces
UR - http://eudml.org/doc/43673
ER -

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