| Title:
|
La categorie Abelienne des quotients de type ${\mathcal LF}$ (French) |
| Title:
|
The Abelian category of quotients of ${\mathcal LF}$-spaces (English) |
| Author:
|
Aqzzouz, B. |
| Author:
|
Nouira, R. |
| Language:
|
French |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
183-190 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct the category of quotients of $\mathcal {L}\Im $-spaces and we show that it is Abelian. This answers a question of L. Waelbroeck from 1990. (English) |
| Keyword:
|
$\scr {L}\Im $-space |
| Keyword:
|
foncteur |
| Keyword:
|
catégorie abélienne |
| MSC:
|
46A13 |
| MSC:
|
46M05 |
| MSC:
|
46M15 |
| MSC:
|
46M40 |
| idZBL:
|
Zbl 1174.46037 |
| idMR:
|
MR2309959 |
| . |
| Date available:
|
2009-09-24T11:45:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128165 |
| . |
| Reference:
|
[1] H. Hogbe Nlend: Théorie des Bornologies et Applications. Lect. Notes Math. Vol. 213.Springer-Verlag, Berlin-Heidelberg-New York, 1971. (French) MR 0625157 |
| Reference:
|
[2] A. Grothendieck: Produits Tensoriels Topologiques et Espaces Nucléaires. Mem. Amer. Math. Soc. No. 16.AMS, Providence, 1966. MR 1609222 |
| Reference:
|
[3] L. Waelbroeck: Topological Vector Spaces and Algebras. Lect. Notes Math. Vol. 230.Springer-Verlag, Berlin-Heidelberg-New York, 1971. MR 0467234 |
| Reference:
|
[4] L. Waelbroeck: Quotient Banach Spaces, Spectral theory 8.Banach Cent. Publ., Warsaw, 1982, pp. 553–562. MR 0738315 |
| Reference:
|
[5] L. Waelbroeck: Holomorphic functions taking their values in a quotient bornological space. Linear operators in function spaces. Proc. 12th Int. Conf. Oper. Theory, Timisoara, Rommania, 1988.Oper. Theory, Adv. Appl. 43 (1990), 323–335. MR 1090139 |
| . |
