dc.contributor.author |
Calabuig, J. M.
|
es_ES |
dc.contributor.author |
Rodriguez, J.
|
es_ES |
dc.contributor.author |
Sánchez Pérez, Enrique Alfonso
|
es_ES |
dc.date.accessioned |
2020-04-17T12:52:16Z |
|
dc.date.available |
2020-04-17T12:52:16Z |
|
dc.date.issued |
2017 |
es_ES |
dc.identifier.issn |
0025-584X |
es_ES |
dc.identifier.uri |
http://hdl.handle.net/10251/140976 |
|
dc.description.abstract |
[EN] We show a picture of the relations among different types of summability of series in the space L-1(m) of integrable functions with respect to a vector measure m of relatively norm compact range. In order to do that, we study the class of the so-called m-1-summing operators. We give several applications regarding the existence of copies of c(0) in L-1(m), as well as on m-1-summing operators which are weakly compact, Asplund or weakly precompact. |
es_ES |
dc.description.sponsorship |
The authors are very grateful to the anonymous referees for their comments, which improved the general shape of this work. This research was partially supported by Ministerio de Economia y Competitividad and FEDER under projects MTM2014-53009-P (J. M. Calabuig), MTM2014-54182-P (J. Rodriguez) and MTM2012-36740-c02-02 (E. A. Sanchez-Perez). The second author was also partially supported by project 19275/PI/14 funded by Fundacion Seneca Agencia de Ciencia y Tecnologia de la Region de Murcia within the framework of PCTIRM 2011-2014. |
es_ES |
dc.language |
Inglés |
es_ES |
dc.publisher |
John Wiley & Sons |
es_ES |
dc.relation |
Miniterio de Economia y Competitividad/MTM2014-53009-P |
es_ES |
dc.relation |
MINECO/MTM2014-54182-P |
es_ES |
dc.relation |
Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia /19275/PI/14 |
es_ES |
dc.relation |
MINECO/MTM2012-36740-C02-02 |
es_ES |
dc.relation.ispartof |
Mathematische Nachrichten |
es_ES |
dc.rights |
Reserva de todos los derechos |
es_ES |
dc.subject |
Vector measure |
es_ES |
dc.subject |
Space of integrable functions |
es_ES |
dc.subject |
Summability |
es_ES |
dc.subject |
Summing operator |
es_ES |
dc.subject |
Lebesgue-Bochner |
es_ES |
dc.subject |
Space |
es_ES |
dc.subject |
W*-thick set |
es_ES |
dc.subject.classification |
MATEMATICA APLICADA |
es_ES |
dc.title |
Summability in L-1 of a vector measure |
es_ES |
dc.type |
Artículo |
es_ES |
dc.identifier.doi |
10.1002/mana.201600020 |
es_ES |
dc.rights.accessRights |
Cerrado |
es_ES |
dc.contributor.affiliation |
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada |
es_ES |
dc.description.bibliographicCitation |
Calabuig, JM.; Rodriguez, J.; Sánchez Pérez, EA. (2017). Summability in L-1 of a vector measure. Mathematische Nachrichten. 290(4):507-519. https://doi.org/10.1002/mana.201600020 |
es_ES |
dc.description.accrualMethod |
S |
es_ES |
dc.relation.publisherversion |
https://doi.org/10.1002/mana.201600020 |
es_ES |
dc.description.upvformatpinicio |
507 |
es_ES |
dc.description.upvformatpfin |
519 |
es_ES |
dc.type.version |
info:eu-repo/semantics/publishedVersion |
es_ES |
dc.description.volume |
290 |
es_ES |
dc.description.issue |
4 |
es_ES |
dc.relation.pasarela |
S\354832 |
es_ES |
dc.contributor.funder |
European Regional Development Fund |
es_ES |
dc.contributor.funder |
Ministerio de Economía y Competitividad |
es_ES |
dc.contributor.funder |
Ministerio de Economía, Industria y Competitividad |
es_ES |
dc.contributor.funder |
Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia |
es_ES |