Strengthened convexity of positive operator monotone decreasing functions

• Megumi Kirihata ^[1] ; Makoto Yamashita ^[2]
  1. [1] Ochanomizu University

     Ochanomizu University

     Japón

     
  2. [2] University of Oslo

     University of Oslo

     Noruega

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 559-567
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or the identity map), and functional calculus by operator monotone functions defined on the positive real numbers instead of the logarithmic function.