Characterizing schwarz maps by tracial inequalities

HIGHLIGHTS

  • who: Eric Carlen from the Department of Mathematics, Hill Center, Rutgers University, Frelinghuysen Road, Piscataway, NJ, USA have published the article: Characterizing Schwarz maps by tracial inequalities, in the Journal: (JOURNAL)
  • what: The authors show that the corresponding tracial inequality T T holds for a wider class of positive maps that is specified here.
  • how: The results of this paper show that the wide variety of monotonicity theorems investigated by Hiai and Petz exemplified by_(40) and_(41) are valid under the sole assumption that the map u03c6 satisfies the Schwarz inequality.
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