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Semi-Metrics on the Normal States of a W*-Algebra

Published online by Cambridge University Press:  20 November 2018

David Promislow
David Promislow*
Affiliation:
York University, Downsview, Ontario
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This paper is concerned with some extensions of the Bures metric d defined on the set of normal states of a W*-algebra [2]. Each subgroup G of the automorphism group of leads naturally to a semi-metric dG. (See Definition 1.1 below.) When G is the identity group dG = d.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1238 - 1253
Copyright
Copyright © Canadian Mathematical Society 1973

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