REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS

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HIRZALLAH OMAR; KITTANEH FUAD; KRNIC MARIO; LOVRICEVIC NEDA; PECARIC JOSIP

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Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2013 | Volume:7 | Issue:2 Page(s): 15-29

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Title

REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS

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Keywords

POSITIVE OPERATOR

COMPACT OPERATOR

OPERATOR MEAN

REFINEMENT

EIGENVALUE

Abstract

In this paper we derive some improvements of means inequalities for Hilbert space operators. More precisely, we obtain REFINEMENTs and reverses of the arithmetic-geometric OPERATOR MEAN inequality. As an application, we also deduce an improved variant for the refined arithmetic-Heinz mean in- equality. We also present some EIGENVALUE inequalities for differences of certain OPERATOR MEANs.

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APA: Copy

HIRZALLAH, OMAR, KITTANEH, FUAD, KRNIC, MARIO, LOVRICEVIC, NEDA, & PECARIC, JOSIP. (2013). REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 7(2), 15-29. SID. https://sid.ir/paper/317018/en

Vancouver: Copy

HIRZALLAH OMAR, KITTANEH FUAD, KRNIC MARIO, LOVRICEVIC NEDA, PECARIC JOSIP. REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2013;7(2):15-29. Available from: https://sid.ir/paper/317018/en

IEEE: Copy

OMAR HIRZALLAH, FUAD KITTANEH, MARIO KRNIC, NEDA LOVRICEVIC, and JOSIP PECARIC, “REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 7, no. 2, pp. 15–29, 2013, [Online]. Available: https://sid.ir/paper/317018/en

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