Maps on the positive definite cone of a C-algebra preserving certain quasi-entropies

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Abstract

We describe the structure of those bijective maps on the cone of all positive invertible elements of a C-algebra with a normalized faithful trace which preserve certain kinds of quasi-entropy. It is shown that essentially any such map is equal to a Jordan *-isomorphism of the underlying algebra multiplied by a central positive invertible element.

Original languageEnglish
Pages (from-to)206-221
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume447
Issue number1
DOIs
Publication statusPublished - Mar 1 2017

Keywords

  • C-algebra
  • Central element
  • Jordan *-isomorphism
  • Positive definite cone
  • Preservers
  • Quasi-entropy

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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