Callebaut and H\"{o}lder type inequalities for positive linear maps of selfadjoint operators via a Kittaneh-Manasrah result

محورهای موضوعی : Operator theory

S. S. Dragomir ¹

1 - Applied Mathematics Research Group, ISILC, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

تاریخ دریافت : 1403/10/17 تاریخ پذیرش : 1404/02/04 تاریخ انتشار : 1404/02/10

کلید واژه: Positive linear maps, selfadjoint operators, functions of selfadjoint operators, Callebaut inequality, H\"{o}lder inequality,

چکیده مقاله :

Some inequalities of Callebaut and H\"{o}lder type for positive linear maps of continuous functions of selfadjoint linear operators in Hilbert spaces, are given. Applications for power function are provided as well.

چکیده انگلیسی:

Some inequalities of Callebaut and H\"{o}lder type for positive linear maps of continuous functions of selfadjoint linear operators in Hilbert spaces, are given. Applications for power function are provided as well.