| Title:
|
Sur le theoreme de Bartle-Graves dans la categorie des quotients bornologiques (French) |
| Title:
|
The Bartle-Graves theorem in the category of quotient bornological spaces (English) |
| Author:
|
Aqzzouz, B. |
| Author:
|
Elalj, M. H. |
| Author:
|
Nouira, R. |
| Language:
|
French |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
371-385 |
| Summary lang:
|
English |
| Summary lang:
|
French |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Summary:
|
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. (French) |
| Keyword:
|
Bartle-Graves Theorem |
| Keyword:
|
quotient bornological spaces |
| Keyword:
|
exact functor |
| Keyword:
|
category |
| MSC:
|
46A17 |
| MSC:
|
46E40 |
| MSC:
|
46M05 |
| MSC:
|
46M15 |
| MSC:
|
46M18 |
| MSC:
|
46M40 |
| idZBL:
|
Zbl 1113.46001 |
| idMR:
|
MR2182383 |
| DOI:
|
10.21136/MB.2005.134210 |
| . |
| Date available:
|
2009-09-24T22:22:29Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134210 |
| . |
| Reference:
|
[1] B. Aqzzouz: Généralisations du théorème de Bartle-Graves.C. R. Acad. Sci., Paris, Sér. I, Math. 333 (2001), 925–930. Zbl 1022.46005, MR 1873809, 10.1016/S0764-4442(01)02149-8 |
| Reference:
|
[2] R. G. Bartle, L. M. Graves: Mappings between function spaces.Trans. Am. Math. Soc. 72 (1952), 400–413. MR 0047910, 10.1090/S0002-9947-1952-0047910-X |
| Reference:
|
[3] N. Bourbaki: Éléments de mathématique. Espaces vectoriels topologiques. Chapitres 1 à 5.Paris etc.: Masson. VII, 1981, pp. 368. Zbl 0482.46001, MR 0633754 |
| Reference:
|
[4] L. Waelbroeck: Étude spectrale des algèbres completes.Mem. Cl. Sci., Collect. Octavo, Acad. R. Belg. 31 (1960), 140. Zbl 0193.10005, MR 0117578 |
| Reference:
|
[5] L. Waelbroeck: Topological vector spaces and algebras. Lecture Notes in Mathematics.Springer, Berlin, 1971. MR 0467234 |
| Reference:
|
[6] L. Waelbroeck: The category of quotient bornological spaces. Aspects of mathematics and its applications.Collect. Pap. Hon. L. Nachbin 34 (1986), 873–894. MR 0849594 |
| Reference:
|
[7] L. Waelbroeck: 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. MR 1090139 |
| . |
