On Property (Saw) and others spectral properties type Weyl-Browder theorems
An operator T acting on a Banach space X satises the property (aw) if σ(T) \ σW(T) = E0a(T), where σW (T) is the Weyl spectrum of T and E0a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two...
- Autores:
-
Sanabria, J.
Carpintero, C.
Rosas, E.
García, O.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66429
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66429
http://bdigital.unal.edu.co/67457/
- Palabra clave:
- 51 Matemáticas / Mathematics
Semi B-Fredholm operator
a-Weyl's theorem
property (Saw)
property (Sab)
Operador semi-B-Fredholm
teorema de a-Weyl
propiedad (Saw)
propiedad (Sab)
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| id |
UNACIONAL2_85e31c2507d3a32f571b30997107751c |
|---|---|
| oai_identifier_str |
oai:repositorio.unal.edu.co:unal/66429 |
| network_acronym_str |
UNACIONAL2 |
| network_name_str |
Universidad Nacional de Colombia |
| repository_id_str |
|
| spelling |
Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Sanabria, J.e7f05650-3eb8-47c4-bf5f-e12f0f5cb5ad300Carpintero, C.0e9799ec-0c3c-4d2d-8fc5-a398280671dc300Rosas, E.c3ef58a4-e077-4bd0-af1c-c64adc4f35d9300García, O.3d28ef77-ce71-4408-8e6f-a39d6c5d288e3002019-07-03T02:06:41Z2019-07-03T02:06:41Z2017-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66429http://bdigital.unal.edu.co/67457/An operator T acting on a Banach space X satises the property (aw) if σ(T) \ σW(T) = E0a(T), where σW (T) is the Weyl spectrum of T and E0a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and σSBF-+ (T) = σW (T), where σSBF-+ (T) is the upper semi B-Weyl spectrum of T.Un operador T actuando sobre un espacio de Banach X satisface la propiedad (aw) si σ(T) \ σW(T) = E0a(T), donde σW (T) es el espectro de Weyl de T y E0a(T) es el conjunto de todos los autovalores de T de multiplicidad finita que son aislados en el espectro aproximado puntual de T. En este artículo introducimos y estudiamos dos nuevas propiedades espectrales, llamadas (Saw) y (Sab), en conexión con teoremas tipo Weyl-Browder. Entre otros resultados, mostramos que T satisface la propiedad (Saw) si y sólo si T satisface la propiedad (aw) y σSBF-+ (T) = σW (T), donde σSBF-+ (T) es el espectro superiormente semi B-Weyl de T.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/70899Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasSanabria, J. and Carpintero, C. and Rosas, E. and García, O. (2017) On Property (Saw) and others spectral properties type Weyl-Browder theorems. Revista Colombiana de Matemáticas, 51 (2). pp. 153-171. ISSN 2357-410051 Matemáticas / MathematicsSemi B-Fredholm operatora-Weyl's theoremproperty (Saw)property (Sab)Operador semi-B-Fredholmteorema de a-Weylpropiedad (Saw)propiedad (Sab)On Property (Saw) and others spectral properties type Weyl-Browder theoremsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL70899-375005-1-SM.pdfapplication/pdf1411046https://repositorio.unal.edu.co/bitstream/unal/66429/1/70899-375005-1-SM.pdf486d5670b75b01354aae10b9bfe9fbd7MD51THUMBNAIL70899-375005-1-SM.pdf.jpg70899-375005-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5566https://repositorio.unal.edu.co/bitstream/unal/66429/2/70899-375005-1-SM.pdf.jpg86057c5e453792064ab252693c7dda6eMD52unal/66429oai:repositorio.unal.edu.co:unal/664292023-05-24 23:03:22.147Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| title |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| spellingShingle |
On Property (Saw) and others spectral properties type Weyl-Browder theorems 51 Matemáticas / Mathematics Semi B-Fredholm operator a-Weyl's theorem property (Saw) property (Sab) Operador semi-B-Fredholm teorema de a-Weyl propiedad (Saw) propiedad (Sab) |
| title_short |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| title_full |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| title_fullStr |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| title_full_unstemmed |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| title_sort |
On Property (Saw) and others spectral properties type Weyl-Browder theorems |
| dc.creator.fl_str_mv |
Sanabria, J. Carpintero, C. Rosas, E. García, O. |
| dc.contributor.author.spa.fl_str_mv |
Sanabria, J. Carpintero, C. Rosas, E. García, O. |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Semi B-Fredholm operator a-Weyl's theorem property (Saw) property (Sab) Operador semi-B-Fredholm teorema de a-Weyl propiedad (Saw) propiedad (Sab) |
| dc.subject.proposal.spa.fl_str_mv |
Semi B-Fredholm operator a-Weyl's theorem property (Saw) property (Sab) Operador semi-B-Fredholm teorema de a-Weyl propiedad (Saw) propiedad (Sab) |
| description |
An operator T acting on a Banach space X satises the property (aw) if σ(T) \ σW(T) = E0a(T), where σW (T) is the Weyl spectrum of T and E0a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and σSBF-+ (T) = σW (T), where σSBF-+ (T) is the upper semi B-Weyl spectrum of T. |
| publishDate |
2017 |
| dc.date.issued.spa.fl_str_mv |
2017-07-01 |
| dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:06:41Z |
| dc.date.available.spa.fl_str_mv |
2019-07-03T02:06:41Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.content.spa.fl_str_mv |
Text |
| dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
| format |
http://purl.org/coar/resource_type/c_6501 |
| status_str |
publishedVersion |
| dc.identifier.issn.spa.fl_str_mv |
ISSN: 2357-4100 |
| dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/66429 |
| dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67457/ |
| identifier_str_mv |
ISSN: 2357-4100 |
| url |
https://repositorio.unal.edu.co/handle/unal/66429 http://bdigital.unal.edu.co/67457/ |
| dc.language.iso.spa.fl_str_mv |
spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/recolma/article/view/70899 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.references.spa.fl_str_mv |
Sanabria, J. and Carpintero, C. and Rosas, E. and García, O. (2017) On Property (Saw) and others spectral properties type Weyl-Browder theorems. Revista Colombiana de Matemáticas, 51 (2). pp. 153-171. ISSN 2357-4100 |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
| dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
| institution |
Universidad Nacional de Colombia |
| bitstream.url.fl_str_mv |
https://repositorio.unal.edu.co/bitstream/unal/66429/1/70899-375005-1-SM.pdf https://repositorio.unal.edu.co/bitstream/unal/66429/2/70899-375005-1-SM.pdf.jpg |
| bitstream.checksum.fl_str_mv |
486d5670b75b01354aae10b9bfe9fbd7 86057c5e453792064ab252693c7dda6e |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
| repository.mail.fl_str_mv |
repositorio_nal@unal.edu.co |
| _version_ |
1814090197724299264 |