Geodesic
Semi-Metrics on the Normal States of a W *-Algebra
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1238-1253

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Promislow, David. Semi-Metrics on the Normal States of a W *-Algebra. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1238-1253. doi: 10.4153/CJM-1973-131-2
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