On weighted spaces without a fundamental sequence of bounded sets
The problem of countably quasi-barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi-barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011857 |
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| _version_ | 1832566969931399168 |
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| author | J. O. Olaleru |
| author_facet | J. O. Olaleru |
| author_sort | J. O. Olaleru |
| collection | DOAJ |
| description | The problem of countably quasi-barrelledness of weighted spaces of continuous functions, of which there are no results in the
general setting of weighted spaces, is tackled in this paper.
This leads to the study of quasi-barrelledness of weighted spaces
in which, unlike that of Ernst and Schnettler (1986), though with
a similar approach, we drop the assumption that the weighted
space has a fundamental sequence of bounded sets. The study of
countably quasi-barrelledness of weighted spaces naturally leads
to definite results on the weighted (DF)-spaces for those
weighted spaces with a fundamental sequence of bounded sets. |
| format | Article |
| id | doaj-art-942799c9e6554255a156cbb530c3ffba |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-942799c9e6554255a156cbb530c3ffba2025-02-03T01:02:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130844945710.1155/S0161171202011857On weighted spaces without a fundamental sequence of bounded setsJ. O. Olaleru0Mathematics Department, University of Lagos, Yaba, Lagos, NigeriaThe problem of countably quasi-barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi-barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler (1986), though with a similar approach, we drop the assumption that the weighted space has a fundamental sequence of bounded sets. The study of countably quasi-barrelledness of weighted spaces naturally leads to definite results on the weighted (DF)-spaces for those weighted spaces with a fundamental sequence of bounded sets.http://dx.doi.org/10.1155/S0161171202011857 |
| spellingShingle | J. O. Olaleru On weighted spaces without a fundamental sequence of bounded sets International Journal of Mathematics and Mathematical Sciences |
| title | On weighted spaces without a fundamental sequence of bounded sets |
| title_full | On weighted spaces without a fundamental sequence of bounded sets |
| title_fullStr | On weighted spaces without a fundamental sequence of bounded sets |
| title_full_unstemmed | On weighted spaces without a fundamental sequence of bounded sets |
| title_short | On weighted spaces without a fundamental sequence of bounded sets |
| title_sort | on weighted spaces without a fundamental sequence of bounded sets |
| url | http://dx.doi.org/10.1155/S0161171202011857 |
| work_keys_str_mv | AT joolaleru onweightedspaceswithoutafundamentalsequenceofboundedsets |