Uniform boundedness in vector-valued sequence spaces

dc.creator	Swartz, Charles
dc.date	2017-05-22
dc.identifier	http://www.revistaproyecciones.cl/article/view/1554
dc.identifier	10.4067/S0716-09172004000300003
dc.description	Let µ be a normal scalar sequence space which is a K-space under the family of semi-norms M and let X be a locally convex space whose topology is generated by the family of semi-norms X. The space µ{X} is the space of all X valued sequences x = {xk} such that {q(xₖ)} ∈ µ{X} for all q ∈ X. The space µ{X} is given the locally convex topology generated by the semi-norms πpq(x) = p({q(xₖ)}), p ∈ X, q ∈ M.We show that if µ satisfies a certain multiplier type of gliding hump property, then pointwise bounded subsets of the β-dual of µ{X} with respect to a locally convex space are uniformly bounded on bounded subsets of µ{X}.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1554/2397
dc.rights	Derechos de autor 2004 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 23 No 3 (2004); 235-240	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 23 Núm. 3 (2004); 235-240	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Uniform boundedness in vector-valued sequence spaces	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES