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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |