- -

The Cesàro operator on weighted l_1 spaces

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

The Cesàro operator on weighted l_1 spaces

Show simple item record

Files in this item

dc.contributor.author Albanese, Angela es_ES
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, W. es_ES
dc.date.accessioned 2019-09-11T20:01:39Z
dc.date.available 2019-09-11T20:01:39Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0025-584X es_ES
dc.identifier.uri http://hdl.handle.net/10251/125582
dc.description This is the peer reviewed version of the following article: Albanese, Angela, Bonet Solves, José Antonio, Ricker, W.. (2018). The Cesàro operator on weighted l_1 spaces.Mathematische Nachrichten, 291, 7, 1015-1048, which has been published in final form at http://doi.org/10.1002/mana.201600509. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
dc.description.abstract [EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete description of the eigenvalues and the spectrum of C are presented. It is also possible to identify all w such that C is a compact operator in l(1)(w). The final section investigates the mean ergodic properties of C in l(1)(w). Many examples are presented in order to supplement the results and to illustrate the phenomena that occur. es_ES
dc.description.sponsorship Ministry of Education, Science and Art, Bavaria (Germany); Grant: International Visiting Professor Program 2016; Ministry of Economy of Spain; Grant: projects MTM2013-43540-P and MTM2016-76647-P es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation AEI/MTM2016-76647-P es_ES
dc.relation MINECO/MTM2013-43540-P es_ES
dc.relation.ispartof Mathematische Nachrichten es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cesaro operator es_ES
dc.subject Compact operator es_ES
dc.subject Mean ergodic operator es_ES
dc.subject Spectrum es_ES
dc.subject Weighted l(1) space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The Cesàro operator on weighted l_1 spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mana.201600509 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Albanese, A.; Bonet Solves, JA.; Ricker, W. (2018). The Cesàro operator on weighted l_1 spaces. Mathematische Nachrichten. 291(7):1015-1048. https://doi.org/10.1002/mana.201600509 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1002/mana.201600509 es_ES
dc.description.upvformatpinicio 1015 es_ES
dc.description.upvformatpfin 1048 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 291 es_ES
dc.description.issue 7 es_ES
dc.relation.pasarela 367661 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Ministerio de Economía y Empresa es_ES


This item appears in the following Collection(s)

Show simple item record