Nihonkai Mathematical Journal

Fiedler-Ando theorem for Ando-Li-Mathias mean of positive operators

Yuki Seo

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Abstract

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.

Article information

Source
Nihonkai Math. J., Volume 27, Number 1-2 (2016), 59-65.

Dates
Received: 18 December 2015
Revised: 4 July 2016
First available in Project Euclid: 14 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1505419741

Mathematical Reviews number (MathSciNet)
MR3698241

Zentralblatt MATH identifier
06820447

Subjects
Primary: 47A64: Operator means, shorted operators, etc.
Secondary: 47A63: Operator inequalities 47A80: Tensor products of operators [See also 46M05]

Keywords
Ando-Li-Mathias mean Hadamard product geometric mean

Citation

Seo, Yuki. Fiedler-Ando theorem for Ando-Li-Mathias mean of positive operators. Nihonkai Math. J. 27 (2016), no. 1-2, 59--65. https://projecteuclid.org/euclid.nihmj/1505419741


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References

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