Title of article :
Comparison of Various Means for Operators
Author/Authors :
Hiai، نويسنده , , Fumio and Kosaki، نويسنده , , Hideki، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Abstract :
For Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| is known, where |||·||| is an arbitrary unitarily invariant norm. A refinement of this arithmetic–geometric mean inequality is studied. Similar norm inequalities are indeed established for various natural means for operators such as the logarithmic mean.
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis
