On prequojections and their duals.

M. I. Ostrovskii

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 1, page 59-77
  • ISSN: 1139-1138

Abstract

top
The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class of prequojections, we call them canonical, and show that in the main result of G. Metafune and V. B. Moscatelli on the existence of a prequojection with a given dual we may require this prequojection to be a canonical one.

How to cite

top

Ostrovskii, M. I.. "On prequojections and their duals.." Revista Matemática Complutense 11.1 (1998): 59-77. <http://eudml.org/doc/44482>.

@article{Ostrovskii1998,
abstract = {The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class of prequojections, we call them canonical, and show that in the main result of G. Metafune and V. B. Moscatelli on the existence of a prequojection with a given dual we may require this prequojection to be a canonical one.},
author = {Ostrovskii, M. I.},
journal = {Revista Matemática Complutense},
keywords = {Espacios lineales topológicos; Espacios de Frechet; Análisis canónico; Espacio dual; Fréchet spaces; prequojections},
language = {eng},
number = {1},
pages = {59-77},
title = {On prequojections and their duals.},
url = {http://eudml.org/doc/44482},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Ostrovskii, M. I.
TI - On prequojections and their duals.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 1
SP - 59
EP - 77
AB - The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class of prequojections, we call them canonical, and show that in the main result of G. Metafune and V. B. Moscatelli on the existence of a prequojection with a given dual we may require this prequojection to be a canonical one.
LA - eng
KW - Espacios lineales topológicos; Espacios de Frechet; Análisis canónico; Espacio dual; Fréchet spaces; prequojections
UR - http://eudml.org/doc/44482
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.