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Fiedler-Ando theorem for Ando-Li-Mathias mean of positive operators. (English) Zbl 06820447

Summary: In this paper, we show several operator inequalities involving the Hadamard product and the Ando-Li-Mathias mean of \(n\) positive operators on a Hilbert space, which are regarded as \(n\)-variable versions of the Fiedler-Ando theorem. As an application, we show an \(n\)-variable version of Fiedler type inequality via the Ando-Li-Mathias mean.

MSC:

47A64 Operator means involving linear operators, shorted linear operators, etc.
47A63 Linear operator inequalities
47A80 Tensor products of linear operators
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Full Text: Euclid