On $f$-connections of positive definite matrices

Marek Niezgoda

doi:10.15352/afa/1396833510

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Home > Journals > Ann. Funct. Anal. > Volume 5 > Issue 2 > Article

2014 On $f$-connections of positive definite matrices

Marek Niezgoda

Ann. Funct. Anal. 5(2): 147-157 (2014). DOI: 10.15352/afa/1396833510

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Abstract

In this paper, by using Mond-Pe\v cari\' c method we provide some inequalities for connections of positive definite matrices. Next, we discuss specifications of the obtained results for some special cases. In doing so, we use $\alpha$-arithmetic, $\alpha$-geometric and $\alpha$-harmonic operator means.

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Marek Niezgoda. "On $f$-connections of positive definite matrices." Ann. Funct. Anal. 5 (2) 147 - 157, 2014. https://doi.org/10.15352/afa/1396833510

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Published: 2014

First available in Project Euclid: 7 April 2014

zbMATH: 1297.15023

MathSciNet: MR3192017

Digital Object Identifier: 10.15352/afa/1396833510

Subjects:

Primary: 15A45

Secondary: 47A63 , 47A64

Keywords: $\alpha$-arithmetic ($\alpha$-geometric, $\alpha$-harmonic) operator mean , $f$-connection , operator monotone function , positive definite matrix , positive linear map

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