A note on preservation of spectra for two given operators
We study the relationships between the spectra derived from Fredholm theory 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 c...
- Autores:
-
Carpintero, Carlos
Gutierrez, Alexander
Rosas, Ennis
Sanabria, Jose
Rosas, Ennis
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/3022
- Acceso en línea:
- https://hdl.handle.net/11323/3022
https://repositorio.cuc.edu.co/
- Palabra clave:
- restriction of an operator
spectral property
semi-Fredholm spectra
multiplication operator
- Rights
- openAccess
- License
- Atribución – No comercial – Compartir igual
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| dc.title.spa.fl_str_mv |
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 multiplication 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 Gutierrez, Alexander Rosas, Ennis Sanabria, Jose Rosas, Ennis |
| dc.contributor.author.spa.fl_str_mv |
Carpintero, Carlos Gutierrez, Alexander Rosas, Ennis Sanabria, Jose |
| dc.contributor.author.none.fl_str_mv |
Rosas, Ennis |
| dc.subject.spa.fl_str_mv |
restriction of an operator spectral property semi-Fredholm spectra multiplication operator |
| topic |
restriction of an operator spectral property semi-Fredholm spectra multiplication operator |
| description |
We study the relationships between the spectra derived from Fredholm theory 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. |
| publishDate |
2019 |
| dc.date.accessioned.none.fl_str_mv |
2019-04-09T19:35:30Z |
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2019-04-09T19:35:30Z |
| dc.date.issued.none.fl_str_mv |
2019 |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
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Text |
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info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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acceptedVersion |
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0862-7959 |
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https://hdl.handle.net/11323/3022 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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0862-7959 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/3022 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.spa.fl_str_mv |
[1] P. Aiena: Fredholm and Local Spectral Theory, with Applications to Multipliers. Kluwer Academic Publishers, Dordrecht, 2004. zbl MR doi [2] P. Aiena: Quasi-Fredholm operators and localized SVEP. Acta Sci. Mat. 73 (2007), 251–263. zbl MR [3] P. Aiena, M. T. Biondi, C. Carpintero: On Drazin invertibility. Proc. Am. Math. Soc. 136 (2008), 2839-2848. zbl MR doi [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. zbl MR doi [5] B. A. Barnes: The spectral and Fredholm theory of extensions of bounded linear operators. Proc. Am. Math. Soc. 105 (1989), 941–949. zbl MR doi [6] B. A. Barnes: Restrictions of bounded linear operators: Closed range. Proc. Am. Math. Soc. 135 (2007), 1735–1740. zbl MR doi [7] M. Berkani: On a class of quasi-Fredholm operators. Integral Equations Oper. Theory 34 (1999), 244–249. zbl MR doi [8] M. Berkani, M. Sarih: On semi B-Fredholm operators. Glasg. Math. J. 43 (2001), 457–465. zbl MR doi [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. zbl MR doi [10] J. K. Finch: The single valued extension property on a Banach space. Pac. J. Math. 58 (1975), 61–69. zbl MR doi [11] H. G. Heuser: Functional Analysis. A Wiley-Interscience Publication. John Wiley & Sons, Chichester, 1982. |
| dc.rights.spa.fl_str_mv |
Atribución – No comercial – Compartir igual |
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info:eu-repo/semantics/openAccess |
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Atribución – No comercial – Compartir igual http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Mathematica Bohemica |
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Carpintero, CarlosGutierrez, AlexanderRosas, EnnisSanabria, JoseRosas, Ennisvirtual::977-12019-04-09T19:35:30Z2019-04-09T19:35:30Z20190862-7959https://hdl.handle.net/11323/3022Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/We study the relationships between the spectra derived from Fredholm theory 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.Carpintero, Carlos-a355945f-e98f-41c1-bf2e-c139d8aa37cb-600Gutierrez, Alexander-0feb16e8-5789-4bfa-94db-54cfe52a4c13-600Rosas, Ennis-c145ef77-57b4-4c48-a23b-bd05bfbc6248-600Sanabria, Jose-e2f74121-9173-4ba0-a989-9057f046d7a4-600engMathematica BohemicaAtribución – No comercial – Compartir igualinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2restriction of an operatorspectral propertysemi-Fredholm spectramultiplication operatorA note on preservation of spectra for two given operatorsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersion[1] P. Aiena: Fredholm and Local Spectral Theory, with Applications to Multipliers. Kluwer Academic Publishers, Dordrecht, 2004. zbl MR doi [2] P. Aiena: Quasi-Fredholm operators and localized SVEP. Acta Sci. Mat. 73 (2007), 251–263. zbl MR [3] P. Aiena, M. T. Biondi, C. Carpintero: On Drazin invertibility. Proc. Am. Math. Soc. 136 (2008), 2839-2848. zbl MR doi [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. zbl MR doi [5] B. A. Barnes: The spectral and Fredholm theory of extensions of bounded linear operators. Proc. Am. Math. Soc. 105 (1989), 941–949. zbl MR doi [6] B. A. Barnes: Restrictions of bounded linear operators: Closed range. Proc. Am. Math. Soc. 135 (2007), 1735–1740. zbl MR doi [7] M. Berkani: On a class of quasi-Fredholm operators. Integral Equations Oper. Theory 34 (1999), 244–249. zbl MR doi [8] M. Berkani, M. Sarih: On semi B-Fredholm operators. Glasg. Math. J. 43 (2001), 457–465. zbl MR doi [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. zbl MR doi [10] J. K. Finch: The single valued extension property on a Banach space. Pac. J. Math. 58 (1975), 61–69. zbl MR doi [11] H. G. Heuser: Functional Analysis. A Wiley-Interscience Publication. John Wiley & Sons, Chichester, 1982.Publicationcb99d9b4-4dcd-4481-8c8a-83af4176c505virtual::977-1cb99d9b4-4dcd-4481-8c8a-83af4176c505virtual::977-1https://scholar.google.com/citations?user=KZvdbkwAAAAJ&hl=esvirtual::977-10000-0001-8123-9344virtual::977-1ORIGINALA note on preservation of spectra for two given operators.pdfA note on preservation of spectra for two given operators.pdfapplication/pdf169525https://repositorio.cuc.edu.co/bitstreams/b6ac4c5e-e392-4191-bf23-f01827d379d2/download5e804424206949551aa741311ede9017MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/381bbde5-cdd5-4a68-a076-aa50b2b17fe9/download8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILA note on preservation of spectra for two given operators.pdf.jpgA note on preservation of spectra for two given operators.pdf.jpgimage/jpeg36947https://repositorio.cuc.edu.co/bitstreams/a3b6e37a-cabf-44a1-a24a-2c84d71f25f7/downloadcc2b1edc999694db9fb633178b8edc78MD54TEXTA note on preservation of spectra for two given operators.pdf.txtA note on preservation of spectra for two given operators.pdf.txttext/plain30435https://repositorio.cuc.edu.co/bitstreams/6948446c-8845-4304-9263-0c5575167052/downloadaef3b151c865feae93835b55e0668fdbMD5511323/3022oai:repositorio.cuc.edu.co:11323/30222025-03-07 16:32:24.908open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |