On new strong versions of Browder type theorems
An operator T acting on a Banach space X satisfies the property (UWπ) if σa(T)\σSF-+ (T) = π (T), where σa(T) is the approximate point spectrum of T, σSF-+ (T) is the upper semi-Weyl spectrum of T andπ (T) the set of all poles of T. In this paper we introduce and study two new spectral properties, n...
- Autores:
-
Sanabria, José E.
Carpintero, Carlos R.
Rodríguez, Jorge G.
Rosas, Ennis R.
García, Orlando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2018
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/1873
- Acceso en línea:
- https://hdl.handle.net/11323/1873
https://repositorio.cuc.edu.co/
- Palabra clave:
- Browder's theorem
Property (UWΠ)
Property (VΠ)
Property (WΠ)
Semi-Fredholm operator
- Rights
- openAccess
- License
- Atribución – No comercial – Compartir igual
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On new strong versions of Browder type theorems |
| title |
On new strong versions of Browder type theorems |
| spellingShingle |
On new strong versions of Browder type theorems Browder's theorem Property (UWΠ) Property (VΠ) Property (WΠ) Semi-Fredholm operator |
| title_short |
On new strong versions of Browder type theorems |
| title_full |
On new strong versions of Browder type theorems |
| title_fullStr |
On new strong versions of Browder type theorems |
| title_full_unstemmed |
On new strong versions of Browder type theorems |
| title_sort |
On new strong versions of Browder type theorems |
| dc.creator.fl_str_mv |
Sanabria, José E. Carpintero, Carlos R. Rodríguez, Jorge G. Rosas, Ennis R. García, Orlando |
| dc.contributor.author.spa.fl_str_mv |
Sanabria, José E. Carpintero, Carlos R. Rodríguez, Jorge G. Rosas, Ennis R. García, Orlando |
| dc.subject.eng.fl_str_mv |
Browder's theorem Property (UWΠ) Property (VΠ) Property (WΠ) Semi-Fredholm operator |
| topic |
Browder's theorem Property (UWΠ) Property (VΠ) Property (WΠ) Semi-Fredholm operator |
| description |
An operator T acting on a Banach space X satisfies the property (UWπ) if σa(T)\σSF-+ (T) = π (T), where σa(T) is the approximate point spectrum of T, σSF-+ (T) is the upper semi-Weyl spectrum of T andπ (T) the set of all poles of T. In this paper we introduce and study two new spectral properties, namely (Vπ) and (Vπa ), in connection with Browder type theorems introduced in [1], [2], [3] and [4]. Among other results, we have that T satisfies property (Vπ) if and only if T satisfies property (UWπ) and π (T) = σa(T). |
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2018 |
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2018-11-26T16:42:07Z |
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2018-11-26T16:42:07Z |
| dc.date.issued.none.fl_str_mv |
2018 |
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Artículo de revista |
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info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
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23915455 |
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https://hdl.handle.net/11323/1873 |
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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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23915455 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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eng |
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eng |
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Atribución – No comercial – Compartir igual |
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info:eu-repo/semantics/openAccess |
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http://purl.org/coar/access_right/c_abf2 |
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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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Open Mathematics |
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Corporación Universidad de la Costa |
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Sanabria, José E.Carpintero, Carlos R.Rodríguez, Jorge G.Rosas, Ennis R.García, Orlando2018-11-26T16:42:07Z2018-11-26T16:42:07Z201823915455https://hdl.handle.net/11323/1873Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/An operator T acting on a Banach space X satisfies the property (UWπ) if σa(T)\σSF-+ (T) = π (T), where σa(T) is the approximate point spectrum of T, σSF-+ (T) is the upper semi-Weyl spectrum of T andπ (T) the set of all poles of T. In this paper we introduce and study two new spectral properties, namely (Vπ) and (Vπa ), in connection with Browder type theorems introduced in [1], [2], [3] and [4]. Among other results, we have that T satisfies property (Vπ) if and only if T satisfies property (UWπ) and π (T) = σa(T).Sanabria, José E.-713a9d59-342c-4562-b3d6-c06f5b214126-600Carpintero, Carlos R.-fe383790-b687-4109-8367-f91f6e274a1c-600Rodríguez, Jorge G.-418be70c-8b9f-40ad-9c18-a6df249a25bc-600Rosas, Ennis R.-93f330f4-73c5-435c-bbe0-40d8f6ffdac9-600García, Orlando-3ec99ae8-85d0-4a8a-a21f-6cc390d93d03-600engOpen MathematicsAtribución – No comercial – Compartir igualinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Browder's theoremProperty (UWΠ)Property (VΠ)Property (WΠ)Semi-Fredholm operatorOn new strong versions of Browder type theoremsArtículo 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/acceptedVersionPublicationORIGINALflyer_j_math_en.pdfflyer_j_math_en.pdfapplication/pdf96359https://repositorio.cuc.edu.co/bitstreams/a2e53f41-6679-4f44-ae03-ec5d042de3db/downloadf0907665b7a83858a8e7ae999ec10da3MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/8de76972-998e-4e5c-a09f-112fe135ab77/download8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILflyer_j_math_en.pdf.jpgflyer_j_math_en.pdf.jpgimage/jpeg41273https://repositorio.cuc.edu.co/bitstreams/49115dba-86c1-4abf-85ed-bdec42fa14c9/downloada05d2257906da2e1c1ecb411012ba3c4MD54TEXTflyer_j_math_en.pdf.txtflyer_j_math_en.pdf.txttext/plain8239https://repositorio.cuc.edu.co/bitstreams/52f0f54f-c920-4a86-87bf-9783dbb6d0d8/downloade33a1c34f0852a273ced14d75e527726MD5511323/1873oai:repositorio.cuc.edu.co:11323/18732024-09-17 10:13:11.922open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |