| Title:
|
Sequential completeness and regularityof inductive limits of webbed spaces (English) |
| Author:
|
Bosch, Carlos |
| Author:
|
Kučera, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
329-332 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular. (English) |
| Keyword:
|
localy convex space |
| Keyword:
|
webbed space |
| Keyword:
|
sequential completeness |
| Keyword:
|
regularity of an inductive limit |
| MSC:
|
46A04 |
| MSC:
|
46A13 |
| idZBL:
|
Zbl 1075.46502 |
| idMR:
|
MR1905439 |
| . |
| Date available:
|
2009-09-24T10:51:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127720 |
| . |
| Reference:
|
[1] M. De Wilde: Closed Graph Theorem and Webbed Spaces.Pitman, 1978. |
| Reference:
|
[2] G. Köthe: Topological Vector Spaces II.Springer-Verlag, 1979. MR 0551623 |
| Reference:
|
[3] W. Robertson: On the closed graph theorem with webs.Proc. London Math. Soc. 24 (1972), 692–738. MR 0306857 |
| Reference:
|
[4] J. Kučera, C. Bosch: Bounded sets in fast complete inductive limits.Internat J. Math. 7 (1984), 615–617. MR 0771609, 10.1155/S016117128400065X |
| Reference:
|
[5] J. Kučera: Sequential completeness of $LF$-spaces.Czechoslovak Math. J 51 (2001), 181–183. MR 1814643, 10.1023/A:1013722325291 |
| . |
