Algebras of sets generating non-barrelled spaces |
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| Authors: | J Ferrer M López-Pellicer |
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| Institution: | (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, thenl
0
(X,A) is a barrelled space of class  0. IfA is an algebra, there are conditions which imply thatl
0
(X,A) is suprabarelled. Here, wheneverA is an algebra, we give conditions forl
0
(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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