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HOLOMORPHIC AUTOMORPHISMS OF THE UNIT BALLS OF HILBERT C$^*$-MODULES

Published online by Cambridge University Press:  31 July 2003

JOSÉ M. ISIDRO
JOSÉ M. ISIDRO
Affiliation:
Facultad de Matemáticas, Universidad de Santiago, Santiago de Compostela, Spain e-mail: jmisidro@zmat.usc.es
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Abstract

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We show that every Hilbert C$^*$-module $E$ is a JB$^*$-triple in a canonical way, establish an explicit expression for the holomorphic automorphisms of the unit ball of $E$, discuss the existence of fixed points for these automorphisms and give sufficient conditions for $E$ to have the density property.

Keywords

17C6532M15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 249 - 262
Copyright
2003 Glasgow Mathematical Journal Trust