The Bartle-Graves theorem in the category of quotient bornological spaces

Belmesnaoui Aqzzouz; M. H. Elalj; R. Nouira

Mathematica Bohemica (2005)

  • Volume: 130, Issue: 4, page 371-385
  • ISSN: 0862-7959

Abstract

top
On Bartle-Graves Theorem in the category of quotient bornological spaces. We prove Bartle-Graves Theorem in the category of quotient bornological spaces (L. Waelbroeck, 1986). Also, this permits us to define some spaces of functions taking their values in quotient bornological spaces. Résumé. On se propose d’établir le Théorème de Bartle-Graves dans la catégorie des quotients bornologiques. Aussi, cela nous permet de définir certains espaces de fonctions à valeurs dans des quotients bornologiques.

How to cite

top

Aqzzouz, Belmesnaoui, Elalj, M. H., and Nouira, R.. "Sur le theoreme de Bartle-Graves dans la categorie des quotients bornologiques." Mathematica Bohemica 130.4 (2005): 371-385. <http://eudml.org/doc/249602>.

@article{Aqzzouz2005,
abstract = {On se propose d’établir le Théor`eme de Bartle-Graves dans la catégorie des quotients bornologiques. Aussi, cela nous permet de définir certains espaces de fonctions `a valeurs dans des quotients bornologiques.},
author = {Aqzzouz, Belmesnaoui, Elalj, M. H., Nouira, R.},
journal = {Mathematica Bohemica},
keywords = {Bartle-Graves Theorem; quotient bornological spaces; exact functor; category; quotient bornological space; exact functor},
language = {fre},
number = {4},
pages = {371-385},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sur le theoreme de Bartle-Graves dans la categorie des quotients bornologiques},
url = {http://eudml.org/doc/249602},
volume = {130},
year = {2005},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Elalj, M. H.
AU - Nouira, R.
TI - Sur le theoreme de Bartle-Graves dans la categorie des quotients bornologiques
JO - Mathematica Bohemica
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 130
IS - 4
SP - 371
EP - 385
AB - On se propose d’établir le Théor`eme de Bartle-Graves dans la catégorie des quotients bornologiques. Aussi, cela nous permet de définir certains espaces de fonctions `a valeurs dans des quotients bornologiques.
LA - fre
KW - Bartle-Graves Theorem; quotient bornological spaces; exact functor; category; quotient bornological space; exact functor
UR - http://eudml.org/doc/249602
ER -

References

top
  1. 10.1016/S0764-4442(01)02149-8, C. R. Acad. Sci., Paris, Sér. I, Math. 333 (2001), 925–930. (2001) Zbl1022.46005MR1873809DOI10.1016/S0764-4442(01)02149-8
  2. 10.1090/S0002-9947-1952-0047910-X, Trans. Am. Math. Soc. 72 (1952), 400–413. (1952) MR0047910DOI10.1090/S0002-9947-1952-0047910-X
  3. Éléments de mathématique. Espaces vectoriels topologiques. Chapitres 1 à 5, Paris etc.: Masson. VII, 1981, pp. 368. (1981) Zbl0482.46001MR0633754
  4. Étude spectrale des algèbres completes, Mem. Cl. Sci., Collect. Octavo, Acad. R. Belg. 31 (1960), 140. (1960) Zbl0193.10005MR0117578
  5. Topological vector spaces and algebras. Lecture Notes in Mathematics, Springer, Berlin, 1971. (1971) MR0467234
  6. The category of quotient bornological spaces. Aspects of mathematics and its applications, Collect. Pap. Hon. L. Nachbin 34 (1986), 873–894. (1986) MR0849594
  7. Holomorphic functions taking their values in a quotient bornological space. Linear operators in function spaces, 12th Int. Conf. Oper. Theory, Timisoara/Rom. 1988, Oper. Theory, Adv. Appl. 43 (1990), 323–335. (1990) MR1090139

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.