A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS
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...
- Autores:
-
Carpintero, Carlos
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/795
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/795
- Palabra clave:
- restriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operator
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| title |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| spellingShingle |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS restriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operator |
| title_short |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| title_full |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| title_fullStr |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| title_full_unstemmed |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| title_sort |
A NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORS |
| dc.creator.fl_str_mv |
Carpintero, Carlos |
| dc.contributor.author.none.fl_str_mv |
Carpintero, Carlos |
| dc.contributor.other.none.fl_str_mv |
Gutierrez, Alexander Rosas, Ennis Sanabria, Jose |
| dc.subject.keywords.spa.fl_str_mv |
restriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operator |
| topic |
restriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operator |
| description |
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. |
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2018 |
| dc.date.submitted.none.fl_str_mv |
2018-03-24 |
| dc.date.issued.none.fl_str_mv |
2019-03-06 |
| dc.date.accessioned.none.fl_str_mv |
2022-11-15T19:19:31Z |
| dc.date.available.none.fl_str_mv |
2022-11-15T19:19:31Z |
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info:eu-repo/semantics/article |
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Artículo |
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https://hdl.handle.net/20.500.12834/795 |
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10.21136/MB.2019.0038-18 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://hdl.handle.net/20.500.12834/795 |
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10.21136/MB.2019.0038-18 Universidad del Atlántico Repositorio Universidad del Atlántico |
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eng |
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eng |
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Attribution-NonCommercial 4.0 International |
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openAccess |
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Sede Norte |
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MATHEMATICA BOHEMICA |
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Universidad del Atlántico |
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Carpintero, Carlos1cd383e4-c78b-42e6-81f6-c89654481eedGutierrez, AlexanderRosas, EnnisSanabria, Jose2022-11-15T19:19:31Z2022-11-15T19:19:31Z2019-03-062018-03-24https://hdl.handle.net/20.500.12834/79510.21136/MB.2019.0038-18Universidad del AtlánticoRepositorio Universidad del AtlánticoWe 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.application/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/Attribution-NonCommercial 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2MATHEMATICA BOHEMICAA NOTE ON PRESERVATION OF SPECTRA FOR TWO GIVEN OPERATORSPúblico generalrestriction of an operator; spectral property; semi-Fredholm spectra; multi- plication operatorinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaSede Norte[1] P.Aiena: Fredholm and Local Spectral Theory, with Applications to Multipliers. Kluwer Academic Publishers, Dordrecht, 2004.[2] P.Aiena: Quasi-Fredholm operators and localized SVEP. Acta Sci. Mat. 73 (2007), 251–263.[3] P. Aiena, M.T.Biondi, C.Carpintero: On Drazin invertibility. Proc. Am. Math. Soc. 136 (2008), 2839-2848.[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.[5] B.A.Barnes: The spectral and Fredholm theory of extensions of bounded linear opera- tors. Proc. Am. Math. Soc. 105 (1989), 941–949.[6] B.A.Barnes: Restrictions of bounded linear operators: Closed range. Proc. Am. Math. Soc. 135 (2007), 1735–1740.[7] M.Berkani: On a class of quasi-Fredholm operators. Integral Equations Oper. Theory 34 (1999), 244–249.[8] M.Berkani, M. Sarih: On semi B-Fredholm operators. Glasg. Math. J. 43 (2001), 457–465.[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.[10] J.K. Finch: The single valued extension property on a Banach space. Pac. J. Math. 58 (1975), 61–69.[11] H.G.Heuser: Functional Analysis. A Wiley-Interscience Publication. John Wiley & Sons, Chichester, 1982.http://purl.org/coar/resource_type/c_6501ORIGINALA note on preservation of spectra for two given operators.pdfA note on preservation of spectra for two given operators.pdfapplication/pdf169525https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/795/1/A%20note%20on%20preservation%20of%20spectra%20for%20two%20given%20operators.pdf5e804424206949551aa741311ede9017MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/795/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/795/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/795oai:repositorio.uniatlantico.edu.co:20.500.12834/7952022-11-15 14:19:32.97DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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 |