IJPAM: Volume 99, No. 4 (2015)

CHARACTERIZATIONS OF OPERATOR ORDER FOR
THREE POSITIVE DEFINITE OPERATORS
VIA OPERATOR MEAN

Jian Shi$^1$, Siyuan Shen$^2$
$^1$College of Mathematics and Computer Science
Hebei University
Baoding, 071002, Hebei, P.R. CHINA
$^2$Department of Basic Sciences
Shijiazhuang Tiedao University Sifang College
Shijiazhuang, 051132, Hebei, P.R. CHINA


Abstract. Motivated by Lin and Cho's characterizations of $A\geq B\geq C$ via extended grand Furuta inequality, we present two characterizations of $A\geq B\geq C$ via operator mean.

Received: August 20, 2014

AMS Subject Classification: 47A63

Key Words and Phrases: positive definite operator, Löwner-Heinz inequality, extend grand furuta inequality, operator order, operator mean

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DOI: 10.12732/ijpam.v99i4.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 4
Pages: 439 - 443


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