Inductive limits of vector-valued sequence spaces.

José Bonet; Susanne Dierolf; Carmen Fernández

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 2, page 363-367
  • ISSN: 0214-1493

Abstract

top
Let L be a normal Banach sequence space such that every element in L is the limit of its sections and let E = ind En be a separated inductive limit of the locally convex spaces. Then ind L(En) is a topological subspace of L(E).

How to cite

top

Bonet, José, Dierolf, Susanne, and Fernández, Carmen. "Inductive limits of vector-valued sequence spaces.." Publicacions Matemàtiques 33.2 (1989): 363-367. <http://eudml.org/doc/41102>.

@article{Bonet1989,
abstract = {Let L be a normal Banach sequence space such that every element in L is the limit of its sections and let E = ind En be a separated inductive limit of the locally convex spaces. Then ind L(En) is a topological subspace of L(E).},
author = {Bonet, José, Dierolf, Susanne, Fernández, Carmen},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Banach; Sucesiones; normal Banach sequence space; inductive limit of locally convex spaces},
language = {eng},
number = {2},
pages = {363-367},
title = {Inductive limits of vector-valued sequence spaces.},
url = {http://eudml.org/doc/41102},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Bonet, José
AU - Dierolf, Susanne
AU - Fernández, Carmen
TI - Inductive limits of vector-valued sequence spaces.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 2
SP - 363
EP - 367
AB - Let L be a normal Banach sequence space such that every element in L is the limit of its sections and let E = ind En be a separated inductive limit of the locally convex spaces. Then ind L(En) is a topological subspace of L(E).
LA - eng
KW - Espacios de Banach; Sucesiones; normal Banach sequence space; inductive limit of locally convex spaces
UR - http://eudml.org/doc/41102
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.