| Title:
|
Remarks on bounded sets in $(LF)_{tv}$-spaces (English) |
| Author:
|
Kąkol, Jerzy |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
239-244 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish the relationship between regularity of a Hausdorff $(LB)_{tv}$-space and its properties like (K), M.c.c., sequential completeness, local completeness. We give a sufficient and necessary condition for a Hausdorff $(LB)_{tv}$-space to be an $(LS)_{tv}$-space. A factorization theorem for $(LN)_{tv}$-spaces with property (K) is also obtained. (English) |
| Keyword:
|
topological vector space |
| Keyword:
|
inductive limits |
| MSC:
|
46A12 |
| MSC:
|
46A13 |
| MSC:
|
46A16 |
| idZBL:
|
Zbl 0830.46003 |
| idMR:
|
MR1357524 |
| . |
| Date available:
|
2009-01-08T18:17:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118751 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
