Orlicz–Pettis Theorem through Summability Methods

dc.contributor.author	León Saavedra, Fernando
dc.contributor.author	Romero de la Rosa, María Pilar
dc.contributor.author	Sala Pérez, Antonio
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2020-01-20T09:39:45Z
dc.date.available	2020-01-20T09:39:45Z
dc.date.issued	2019-10
dc.identifier.issn	2227-7390
dc.identifier.uri	http://hdl.handle.net/10498/22122
dc.description.abstract	This paper unifies several versions of the Orlicz–Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear summability method. This includes results using matrix summability, statistical convergence with respect to an ideal, and other variations of summability methods.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.publisher	MDPI	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Mathematics 2019, 7(10), 895	es_ES
dc.subject	summability method	es_ES
dc.subject	ideal convergence	es_ES
dc.subject	weakly unconditional Cauchy series	es_ES
dc.subject	Orlicz–Pettis theorem	es_ES
dc.title	Orlicz–Pettis Theorem through Summability Methods	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.3390/math7100895

This work is under a Creative Commons License Atribución 4.0 Internacional