Improved Heinz inequalities via the Jensen functional

• Autorzy: Mario Krnić , Josip Pečarić
• Języki publikacji: EN

Abstrakty

EN

By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.

Słowa kluczowe

EN

Heinz mean; Heinz norm inequalities; Heinz operator inequalities; Jensen functional; Monotonicity; Convex function; Unitarily invariant norm; Refinement

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47A63: Operator inequalities
• 26A51: Convexity, generalizations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 9
• Strony: 1698-1710

Daty

wydano

2013-09-01

online

2013-06-28

Twórcy

autor

Mario Krnić

• University of Zagreb

autor

Josip Pečarić

• University of Zagreb

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0270-4