Document Zbl 06820447

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Seo, Yuki

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

Nihonkai Math. J. 27, No. 1-2, 59-65 (2016).

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

Keywords:

Ando-Li-Mathias mean; Hadamard product; geometric mean

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Full Text: Euclid