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A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS
| dc.contributor.author | Carpintero, Carlos | |
| dc.contributor.other | Gutierrez, Alexander | |
| dc.contributor.other | Rosas, Ennis | |
| dc.contributor.other | Sanabria, Jose | |
| dc.date.accessioned | 2022-11-15T19:19:31Z | |
| dc.date.available | 2022-11-15T19:19:31Z | |
| dc.date.issued | 2019-03-06 | |
| dc.date.submitted | 2018-03-24 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12834/795 | |
| dc.description.abstract | We study the relationships between the spectra derived from Fredholm the- ory corresponding to two given bounded linear operators acting on the same space. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from Fredholm theory and other parts of the spectra corresponding to two given operators are preserved. As an application of our results, we give conditions for which the above mentioned spectra corresponding to two multiplication operators acting on the space of functions of bounded p-variation in Wiener’s sense coincide. Additional illustrative results are given too. | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.language.iso | eng | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
| dc.source | MATHEMATICA BOHEMICA | spa |
| dc.title | A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS | spa |
| dcterms.bibliographicCitation | [1] P.Aiena: Fredholm and Local Spectral Theory, with Applications to Multipliers. Kluwer Academic Publishers, Dordrecht, 2004. | spa |
| dcterms.bibliographicCitation | [2] P.Aiena: Quasi-Fredholm operators and localized SVEP. Acta Sci. Mat. 73 (2007), 251–263. | spa |
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| dcterms.bibliographicCitation | [4] F.R.Astudillo-Villaba, R. E.Castillo, J.C.Ramos-Fern´andez: Multiplication operators on the spaces of functions of bounded p-variation in Wiener’s sense. Real Anal. Exch. 42 (2017), 329–344. | spa |
| dcterms.bibliographicCitation | [5] B.A.Barnes: The spectral and Fredholm theory of extensions of bounded linear opera- tors. Proc. Am. Math. Soc. 105 (1989), 941–949. | spa |
| dcterms.bibliographicCitation | [6] B.A.Barnes: Restrictions of bounded linear operators: Closed range. Proc. Am. Math. Soc. 135 (2007), 1735–1740. | spa |
| dcterms.bibliographicCitation | [7] M.Berkani: On a class of quasi-Fredholm operators. Integral Equations Oper. Theory 34 (1999), 244–249. | spa |
| dcterms.bibliographicCitation | [8] M.Berkani, M. Sarih: On semi B-Fredholm operators. Glasg. Math. J. 43 (2001), 457–465. | spa |
| dcterms.bibliographicCitation | [9] C.Carpintero, D.Mu˜noz, E.Rosas, J. Sanabria, O.Garc´ıa: Weyl type theorems and restrictions. Mediterr. J. Math. 11 (2014), 1215–1228. | spa |
| dcterms.bibliographicCitation | [10] J.K. Finch: The single valued extension property on a Banach space. Pac. J. Math. 58 (1975), 61–69. | spa |
| dcterms.bibliographicCitation | [11] H.G.Heuser: Functional Analysis. A Wiley-Interscience Publication. John Wiley & Sons, Chichester, 1982. | spa |
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
| oaire.resourcetype | http://purl.org/coar/resource_type/c_6501 | spa |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
| dc.audience | Público general | spa |
| dc.identifier.doi | 10.21136/MB.2019.0038-18 | |
| dc.identifier.instname | Universidad del Atlántico | spa |
| dc.identifier.reponame | Repositorio Universidad del Atlántico | spa |
| dc.rights.cc | Attribution-NonCommercial 4.0 International | * |
| dc.subject.keywords | restriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operator | spa |
| dc.type.driver | info:eu-repo/semantics/article | spa |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | spa |
| dc.type.spa | Artículo | spa |
| dc.publisher.place | Barranquilla | spa |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | spa |
| dc.publisher.sede | Sede Norte | spa |
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