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

Subject Areas : Operator theory

S. S. Dragomir ¹

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

Received: 2025-01-06 Accepted : 2025-04-24 Published : 2025-04-30

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

Abstract :

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.

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