Algebras of sets generating non-barrelled spaces |
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| Authors: | J. Ferrer M. López-Pellicer |
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| Affiliation: | (1) Depto Análisis Matemático, C. Dr. Moliner 50, 46100 Burjasot, Spain;(2) Depto Matematica Aplicada, ETSI Agrónomos, Apartado 22012, 46071 Valencia, Spain |
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| Abstract: | IfA is a  -algebra on setX, thenl0 (X,A) is a barrelled space of class  0. IfA is an algebra, there are conditions which imply thatl0(X,A) is suprabarelled. Here, wheneverA is an algebra, we give conditions forl0(X,A) to be not barrelled which are related with the existence of non-trivial convergent sequences.Supported in part by DGICYT, project PB91-0407 and by the Institució Valenciana d'Estudis i Investigació, project 023. |
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| Keywords: | Primary 46A07 Secondary 28C99 and phrases |
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