| Title:
|
Sequentially complete inductive limits and regularity (English) |
| Author:
|
Gomez-Wulschner, Claudia |
| Author:
|
Kučera, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
697-699 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular. (English) |
| Keyword:
|
sequential completeness |
| Keyword:
|
regular |
| Keyword:
|
resp. almost regular |
| Keyword:
|
inductive limit of locally convex spaces |
| MSC:
|
46A13 |
| MSC:
|
46A30 |
| idZBL:
|
Zbl 1080.46502 |
| idMR:
|
MR2086726 |
| . |
| Date available:
|
2009-09-24T11:16:35Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127921 |
| . |
| Reference:
|
[1] J. Horvath: Topological Vector Spaces and Distributions.Addison-Wesley, 1966 ZBL 0143.15101. MR 0205028 |
| Reference:
|
[2] B. M. Makarov: On pathological properties of inductive limits of Banach Spaces.Usp. Mat. Nauk 18, 3 (1963), 171–178. (Russian) MR 0152867 |
| Reference:
|
[3] M. de Wilde: Closed Graph Theorems and Webbed Spaces.Pitman, London, 1978 ZBL 0373.46007. |
| Reference:
|
[4] J. Kučera: Sequential completeness of $LF$-spaces.Czechoslovak Math. J. 51(126) (2001), 181–183. MR 1814643, 10.1023/A:1013722325291 |
| . |
