Bures isometries between density spaces of C-algebras

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We describe the precise structure of all surjective (’a priori’ nonlinear or, better say, nonaffine) Bures isometries between density spaces of C-algebras equipped with faithful traces. It turns out that those maps are closely related to (linear) Jordan *-isomorphisms between the underlying algebras. Beside density spaces, we consider the problem also on the positive definite (and positive semidefinite) cones of C-algebras.

Original languageEnglish
Pages (from-to)22-33
Number of pages12
JournalLinear Algebra and Its Applications
Volume557
DOIs
Publication statusPublished - Nov 15 2018

Fingerprint

Isometry
Algebra
C*-algebra
Jordan Isomorphism
Positive semidefinite
Faithful
Positive definite
Cone
Trace
Cones

Keywords

  • Bures metric
  • C-algebra
  • Density space
  • Fidelity
  • Positive cone
  • Preservers

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this

Bures isometries between density spaces of C-algebras. / Molnár, L.

In: Linear Algebra and Its Applications, Vol. 557, 15.11.2018, p. 22-33.

Research output: Contribution to journalArticle

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