Title of article :
Ando–Hiai inequality and Furuta inequality
Author/Authors :
Masatoshi Fujii، نويسنده , , Eizaburo Kamei، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
Let A, B > 0, the positive operators on a Hilbert space. Ando–Hiai inequality (AH) and Furuta inequality (F) are given as follows: and
We show these inequalities imply each other.
Keywords :
Operator mean , L?wner–Heinz inequality , Furuta inequality , Chaotic order , Positive operators , Grand Furuta inequality
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications