Regularity of conservative inductive limits
A sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299227056 |
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doaj-9ee1e375c8754ee493120cfb98c381b9 |
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Article |
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doaj-9ee1e375c8754ee493120cfb98c381b92020-11-25T00:18:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122470570710.1155/S0161171299227056Regularity of conservative inductive limitsJan Kucera0Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USAA sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.http://dx.doi.org/10.1155/S0161171299227056Regular and conservative inductive limits of locally convex spaces. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jan Kucera |
| spellingShingle |
Jan Kucera Regularity of conservative inductive limits International Journal of Mathematics and Mathematical Sciences Regular and conservative inductive limits of locally convex spaces. |
| author_facet |
Jan Kucera |
| author_sort |
Jan Kucera |
| title |
Regularity of conservative inductive limits |
| title_short |
Regularity of conservative inductive limits |
| title_full |
Regularity of conservative inductive limits |
| title_fullStr |
Regularity of conservative inductive limits |
| title_full_unstemmed |
Regularity of conservative inductive limits |
| title_sort |
regularity of conservative inductive limits |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1999-01-01 |
| description |
A sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness. |
| topic |
Regular and conservative inductive limits of locally convex spaces. |
| url |
http://dx.doi.org/10.1155/S0161171299227056 |
| work_keys_str_mv |
AT jankucera regularityofconservativeinductivelimits |
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1725376378821410816 |