Extends Bures and quantum metrics to non-unital C*-algebras with faithful traces, proves density space non-compact iff algebra infinite-dimensional, and shows topology comparisons via quantum Lipschitz triples and matrix function examples.
15, North-Holland Pub- lishing Co., Amsterdam-New York-Oxford, 1977, Translated from the French by Francis Jellett
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The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Extends Bures and quantum metrics to non-unital C*-algebras with faithful traces, proves density space non-compact iff algebra infinite-dimensional, and shows topology comparisons via quantum Lipschitz triples and matrix function examples.