ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS

ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS

Let X be an infinite dimensional Banach space and let <FONT FACE=Symbol>Ö</FONT>: B(X) &#8594; 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: EL KETTANI,MUSTPHA ECH-CHÉRIF, El BOUCHIBTI,EL HOUCINE
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2004
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200004
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spelling oai:scielo:S0716-091720040002000042004-09-29ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONSEL KETTANI,MUSTPHA ECH-CHÉRIFEl BOUCHIBTI,EL HOUCINELet X be an infinite dimensional Banach space and let <FONT FACE=Symbol>Ö</FONT>: B(X) &#8594; 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)info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.2 20042004-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200004en10.4067/S0716-09172004000200004
institution Scielo Chile
collection Scielo Chile
language English
description Let X be an infinite dimensional Banach space and let <FONT FACE=Symbol>Ö</FONT>: B(X) &#8594; 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)
author EL KETTANI,MUSTPHA ECH-CHÉRIF
El BOUCHIBTI,EL HOUCINE
spellingShingle EL KETTANI,MUSTPHA ECH-CHÉRIF
El BOUCHIBTI,EL HOUCINE
ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
author_facet EL KETTANI,MUSTPHA ECH-CHÉRIF
El BOUCHIBTI,EL HOUCINE
author_sort EL KETTANI,MUSTPHA ECH-CHÉRIF
title ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
title_short ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
title_full ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
title_fullStr ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
title_full_unstemmed ON AUTOMATIC SURJECTIVITY OF SOME ADDITIVE TRANSFORMATIONS
title_sort on automatic surjectivity of some additive transformations
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2004
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200004
work_keys_str_mv AT elkettanimustphaechcherif onautomaticsurjectivityofsomeadditivetransformations
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