Shrinking and boundedly complete Schauder frames in Fréchet spaces

Bonet Solves, Jose; Fernandez Rosell, Carmen; Galbis Verdu, Antonio; Ribera Puchades, Juan Miguel

dc.contributor.author	Bonet Solves, Jose
dc.contributor.author	Fernandez Rosell, Carmen
dc.contributor.author	Galbis Verdu, Antonio
dc.contributor.author	Ribera Puchades, Juan Miguel
dc.date.accessioned	2024-01-18T08:38:26Z
dc.identifier.uri	http://hdl.handle.net/11201/163901
dc.description.abstract	We study Schauder frames in Fréchet spaces and their duals, as well as perturbation results. We define shrinking and boundedly complete Schauder frames on a locally convex space, study the duality of these two concepts and their relation with the reflexivity of the space. We characterize when an unconditional Schauder frame is shrinking or boundedly complete in terms of properties of the space. Several examples of concrete Schauder frames in function spaces are also presented.
dc.format	application/pdf
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2013.09.010
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 2014, vol. 410, num. 2, p. 953-966
dc.subject.classification	51 - Matemàtiques
dc.subject.classification	Informàtica
dc.subject.other	51 - Mathematics
dc.subject.other	Computer science
dc.title	Shrinking and boundedly complete Schauder frames in Fréchet spaces
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.date.updated	2024-01-18T08:38:26Z
dc.date.embargoEndDate	info:eu-repo/date/embargoEnd/2100-01-01
dc.embargo	2100-01-01
dc.subject.keywords	Schauder basis
dc.subject.keywords	Schauder frame
dc.subject.keywords	Fréchet spaces
dc.subject.keywords	(LB)-spaces
dc.subject.keywords	Reflexivity
dc.rights.accessRights	info:eu-repo/semantics/embargoedAccess
dc.identifier.doi	https://doi.org/10.1016/j.jmaa.2013.09.010