dc.creator | Lacruz Martín, Miguel Benito | es |
dc.creator | León Saavedra, Fernando | es |
dc.creator | Petrovic, Srdjan | es |
dc.creator | Zabeti, Omid | es |
dc.date.accessioned | 2016-07-12T11:06:31Z | |
dc.date.available | 2016-07-12T11:06:31Z | |
dc.date.issued | 2015-09-15 | |
dc.identifier.citation | Lacruz Martín, M.B., León Saavedra, F., Petrovic, S. y Zabeti, O. (2015). Extended eigenvalues for Cesàro operators. Journal of Mathematical Analysis and Applications, 429 (2), 623-657. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.issn | 1096-0813 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43531 | |
dc.description.abstract | A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator T on a complex Banach
space if there is a nonzero operator X such that T X = λXT. Such an operator X is called an extended
eigenoperator of T corresponding to the extended eigenvalue λ.
The purpose of this paper is to give a description of the extended eigenvalues for the discrete Ces`aro
operator C0, the finite continuous Ces`aro operator C1 and the infinite continuous Ces`aro operator C∞
defined on the complex Banach spaces ℓ
p
, Lp
[0, 1] and L
p
[0, ∞) for 1 < p < ∞ by the expressions
(C0f)(n): = 1
n + 1
Xn
k=0
f(k),
(C1f)(x): = 1
x
Z x
0
f(t) dt,
(C∞f)(x): = 1
x
Z x
0
f(t) dt.
It is shown that the set of extended eigenvalues for C0 is the interval [1, ∞), for C1 it is the interval (0, 1],
and for C∞ it reduces to the singleton {1}. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Vicerrectorado de investigación (Universidad de Cádiz) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 429 (2), 623-657. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Extended eigenvalue | es |
dc.subject | Extended eigenoperator | es |
dc.subject | Cesàro operator | es |
dc.subject | Shift operator | es |
dc.subject | Euler operator | es |
dc.subject | Hausdorff operator | es |
dc.subject | Rich point spectrum | es |
dc.subject | Bilateral weighted shift | es |
dc.subject | Analytic Toeplitz operator | es |
dc.subject | Analytic kernel | es |
dc.title | Extended eigenvalues for Cesàro operators | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-30748 | es |
dc.relation.projectID | FQM-257 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2015.04.028 | es |
dc.identifier.doi | 10.1016/j.jmaa.2015.04.028 | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 429 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 623 | es |
dc.publication.endPage | 657 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43531 | |