The density condition in quotients of quasinormable Fréchet spaces, II.

Angela A. Albanese

Revista Matemática Complutense (1999)

  • Volume: 12, Issue: 1, page 73-84
  • ISSN: 1139-1138

Abstract

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It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz

How to cite

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Albanese, Angela A.. "The density condition in quotients of quasinormable Fréchet spaces, II.." Revista Matemática Complutense 12.1 (1999): 73-84. <http://eudml.org/doc/44426>.

@article{Albanese1999,
abstract = {It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz},
author = {Albanese, Angela A.},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Frechet; Espacios de Köthe; quasinormable Fréchet spaces; Heinrich density condition; Köthe echelon space},
language = {eng},
number = {1},
pages = {73-84},
title = {The density condition in quotients of quasinormable Fréchet spaces, II.},
url = {http://eudml.org/doc/44426},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Albanese, Angela A.
TI - The density condition in quotients of quasinormable Fréchet spaces, II.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 1
SP - 73
EP - 84
AB - It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz
LA - eng
KW - Espacios de Frechet; Espacios de Köthe; quasinormable Fréchet spaces; Heinrich density condition; Köthe echelon space
UR - http://eudml.org/doc/44426
ER -

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