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Perturbations of type I Aw*-algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1986