شماره ركورد كنفرانس :
3360
عنوان مقاله :
OPERATOR GENERALIZED a - GEOMETRIC MEAN INEQUALITY
Author/Authors :
LEILA NASIRI Department of Mathematics - Faculty of Mathematics - University of Lorestan , MAHMOOD SHAKOORI Department of Mathematics - Faculty of Mathematics - University of Lorestan
كليدواژه :
Positive operators , linear map , a - GEOMETRIC MEAN
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
In this paper, we generalize operator - geometric mean inequality, which is establised by Y. Seo [1], to higher powers
as follows: If 0 < m1 A M1 and 0 < m2 B M2 so that positive real numbers m1 < M1 and m2 < M2: Then for every
unital positive linear map φ; 0 1 and 2 p < 1; we have (φ(A)♯φ(B))p ( (M1+m1)2((M1+m1) 1(M2+m2))2
4 2p (M2m2)(M1m1)1 )pφp(A♯B)
