On weighted spaces without a fundamental sequence of bounded sets

Autor: J. O. Olaleru
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 8, Pp 449-457 (2002)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171202011857
Popis: 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.
Databáze: Directory of Open Access Journals
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