M-ideals in banach spaces
Let X and Y be given Banach spaces, and L(X,Y) be the space of bounded linear operators from X into Y. Compact operators are denoted by K(X,Y). It is shown that under certain conditions if k(X,Y) is an M-ideal of L(X,Y), then Y is an M-ideal of Y**. Further it is shown that if X and Yare reflexive ...
- Autores:
-
Khalil, Roshdi
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1984
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42846
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42846
http://bdigital.unal.edu.co/32943/
- Palabra clave:
- 51 Matemáticas / Mathematics
isometric
similar results
Espacios de Banach
operadores lineales
operadores compactos
isométrico
resultados análogos
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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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_abf2Khalil, Roshdica4bde2e-8bc0-40e9-bc12-fc86cc491f033002019-06-28T11:15:12Z2019-06-28T11:15:12Z1984-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/42846http://bdigital.unal.edu.co/32943/Let X and Y be given Banach spaces, and L(X,Y) be the space of bounded linear operators from X into Y. Compact operators are denoted by K(X,Y). It is shown that under certain conditions if k(X,Y) is an M-ideal of L(X,Y), then Y is an M-ideal of Y**. Further it is shown that if X and Yare reflexive and K(Y,Y) is an M-ideal of L(Y,Y), then K(X,Y)** is isometric to L(X,Y).Sean X y Y espacios de Banach y L(X,Y) el espacio de operadores lineales acotados de X en Y. El subespacio de operadores compactos se denota K(X,Y). Se demuestra que bajo ciertas condiciones, si K(X,Y) es un M-ideal de L(X,Y) entonces Y es un M-ideal de Y**. Además, si X y Y son reflexivos y K(Y,Y) es un M-ideal de L(Y,Y), entonces K(X,Y)** es isométrico a L(X,Y). Esto generaliza resultados análogos de A. Lima y P. Harmand.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/recolma/article/view/32542Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasKhalil, Roshdi (1984) M-ideals in banach spaces. Revista Colombiana de Matemáticas, 18 (1-2). pp. 33-39. ISSN 2357-410051 Matemáticas / Mathematicsisometricsimilar resultsEspacios de Banachoperadores linealesoperadores compactosisométricoresultados análogosM-ideals in banach spacesArtículo 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/ARTORIGINAL32542-120365-1-PB.pdfapplication/pdf1811393https://repositorio.unal.edu.co/bitstream/unal/42846/1/32542-120365-1-PB.pdfa920c141d14a57fc639570e2d3f09411MD51THUMBNAIL32542-120365-1-PB.pdf.jpg32542-120365-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6136https://repositorio.unal.edu.co/bitstream/unal/42846/2/32542-120365-1-PB.pdf.jpgdcf193d17325cdbcccabd2bda21a6b5cMD52unal/42846oai:repositorio.unal.edu.co:unal/428462023-02-09 23:04:30.156Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
M-ideals in banach spaces |
| title |
M-ideals in banach spaces |
| spellingShingle |
M-ideals in banach spaces 51 Matemáticas / Mathematics isometric similar results Espacios de Banach operadores lineales operadores compactos isométrico resultados análogos |
| title_short |
M-ideals in banach spaces |
| title_full |
M-ideals in banach spaces |
| title_fullStr |
M-ideals in banach spaces |
| title_full_unstemmed |
M-ideals in banach spaces |
| title_sort |
M-ideals in banach spaces |
| dc.creator.fl_str_mv |
Khalil, Roshdi |
| dc.contributor.author.spa.fl_str_mv |
Khalil, Roshdi |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics isometric similar results Espacios de Banach operadores lineales operadores compactos isométrico resultados análogos |
| dc.subject.proposal.spa.fl_str_mv |
isometric similar results Espacios de Banach operadores lineales operadores compactos isométrico resultados análogos |
| description |
Let X and Y be given Banach spaces, and L(X,Y) be the space of bounded linear operators from X into Y. Compact operators are denoted by K(X,Y). It is shown that under certain conditions if k(X,Y) is an M-ideal of L(X,Y), then Y is an M-ideal of Y**. Further it is shown that if X and Yare reflexive and K(Y,Y) is an M-ideal of L(Y,Y), then K(X,Y)** is isometric to L(X,Y). |
| publishDate |
1984 |
| dc.date.issued.spa.fl_str_mv |
1984-01-01 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-28T11:15:12Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T11:15:12Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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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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publishedVersion |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/42846 |
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http://bdigital.unal.edu.co/32943/ |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/42846 http://bdigital.unal.edu.co/32943/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/32542 |
| 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 |
Khalil, Roshdi (1984) M-ideals in banach spaces. Revista Colombiana de Matemáticas, 18 (1-2). pp. 33-39. ISSN 2357-4100 |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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Universidad Nacional de Colombia |
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