ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
Let X be an infinite dimensional Banach space and let <FONT FACE=Symbol>Ö</FONT>: B(X) → B(X) be a spectrum preserving additive transformation. We show that if the image of quasi-nilpotent operators contains all quasi-nilpotent operators, then <FONT FACE=Symbol>Ö</FONT...
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| Autores principales: | , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2004
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200004 |
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| Sumario: | Let X be an infinite dimensional Banach space and let <FONT FACE=Symbol>Ö</FONT>: B(X) → B(X) be a spectrum preserving additive transformation. We show that if the image of quasi-nilpotent operators contains all quasi-nilpotent operators, then <FONT FACE=Symbol>Ö</FONT> is an automophism or an antiautomorphism of B(X) |
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