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