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
| Summary: | 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). |
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