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Perturbations of type I Aw*-algebras

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Mahmood Khoshkam
Mahmood Khoshkam
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, Canada
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Abstract

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The distance between two operator algebras acting on a Hilbert space H is defined to be the Hausdorff distance between their unit balls. We investigate the structural similarities between two close AW*-algebras A and B acting on a Hilbert space H. In particular, we prove that if A is of type I and separable, then A and B are *-isomorphic.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 40 , Issue 3 , June 1986 , pp. 407 - 413
Copyright
Copyright © Australian Mathematical Society 1986

References

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