| Title:
|
Sequential completeness of LF-spaces (English) |
| Author:
|
Kučera, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
181-183 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Any LF-space is sequentially complete iff it is regular. (English) |
| Keyword:
|
LB- and LF-space |
| Keyword:
|
regularity and sequential completeness of locally convex inductive limits |
| MSC:
|
46A13 |
| MSC:
|
46A30 |
| idZBL:
|
Zbl 1079.46502 |
| idMR:
|
MR1814643 |
| . |
| Date available:
|
2009-09-24T10:41:11Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127637 |
| . |
| Reference:
|
[1] K. Floret: Lokalkonvexe Sequenzen mit kompakten Abbildungen.J. Reine Angew. Math. 247 (1971), 155–195. Zbl 0209.43001, MR 0287271 |
| Reference:
|
[2] J. Kučera and K. McKennon: Quasi-incomplete regular LB-space.Internat. J. Math. 16 (1993), 675–678. MR 1234812, 10.1155/S0161171293000845 |
| Reference:
|
[3] B. M. Makarov: Pathological properties of inductive limits of Banach spaces.Uspekhi Mat. Nauk 18 (1963), 171–178. MR 0152867 |
| Reference:
|
[4] J. Mujica: Functional analysis, holomorphy and approximation theory II.North Holland, 1984. MR 0771334 |
| Reference:
|
[5] M. de Wilde: Closed graph theorems and webbed spaces.Pitman, London, 1978. Zbl 0373.46007 |
| . |
