On Weighted Spaces Without a Fundamental Sequence of Bounded Sets
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Date
2002-09-21
Authors
Olaleru, J.O
Journal Title
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Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
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.
Description
Staff publications
Keywords
Countably quasi-barrelledness , Weighted spaces , Continous functions , Weighted (DF) spaces , Research Subject Categories::MATHEMATICS
Citation
Olaleru, J.O. (2002). On Weighted Spaces Without a Fundamental Sequence of Bounded Sets. IJMMS 30:8. P11.S0161171202011857. http://ijmms.hindawi.com. Hindawi Publising Corporation