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Kaleibary, V.

On some matrix reverse Cauchy-Schwarz and Hölder inequalities. (English) Zbl 1391.15066

Linear Algebra Appl. 552, 210-218 (2018).
Summary: In this paper, we present some eigenvalue inequalities related to the reverse Hölder inequality involving positive linear maps, geometric means and doubly concave functions. Several relevant inequalities are considered as well.

MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
47A64 Operator means involving linear operators, shorted linear operators, etc.

Keywords:

operator concave function; doubly concave function; Hölder inequality; eigenvalue inequality; geometric mean
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References:

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