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arXiv · 1306.2397

A sufficient condition on operator order for strictly positive operators

Jian Shi·Zongsheng Gao
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Abstract

Let $A_{1}$, $A_{2}$, $...$, $A_{k}$ be strictly positive operators on a Hilbert space. This note is to show a sufficient condition of $A_{k}\geq A_{k-1}\geq\geq A_{3}\geq A_{2}\geq A_{1}$, which extends the related result before.

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Jian Shi, Zongsheng Gao. 2013-06-11. A sufficient condition on operator order for strictly positive operators. https://arxiv.org/abs/1306.2397

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