Characterizations of operator order for k strictly positive operators

Details Characterizations of operator order for k strictly positive operators Characterizations of operator order for k strictly positive operators

2011-11-16

arxiv.org/abs/1111.3759v1

Mathematics

Functional Analysis

Scientific paper

Let $A_{i}\ (i=1, 2, ..., k)$ be bounded linear operators on a Hilbert space.
This paper aims to show characterizations of operator order $A_{k}\geq
A_{k-1}\geq...\geq A_{2}\geq A_{1}>0$ in terms of operator inequalities.
Afterwards, an application of the characterizations is given to operator
equalities due to Douglas's majorization and factorization theorem.

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