Strongly subadditive functions

K. Audenaert, F. Hiai, D. Petz

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Let f: ℝ+ → ℝ. The subject is the trace inequality Tr f(A) + Tr f(P2AP2) ≦ Tr f(P12AP12) + Tr f(P23AP23), where A is a positive operator, P1; P2; P3 are orthogonal projections such that P1 + P2 + P3 = I, P12 = P1 + P2 and P23 = P2 + P3. There are several examples of functions f satisfying the inequality (called (SSA)) and the case of equality is described.

Original languageEnglish
Pages (from-to)386-394
Number of pages9
JournalActa Mathematica Hungarica
Volume128
Issue number4
DOIs
Publication statusPublished - Apr 15 2010

Keywords

  • Operator concave functions
  • Operator monotone functions
  • Strong subadditivity
  • Trace inequality

ASJC Scopus subject areas

  • Mathematics(all)

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