Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T07:26:28.222Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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