侯晋川:POSITIVE MAPS CONSTRUCTED FROM PERMUTATION PAIRS论文

侯晋川:POSITIVE MAPS CONSTRUCTED FROM PERMUTATION PAIRS论文

本文主要研究内容

作者侯晋川,赵海利(2019)在《POSITIVE MAPS CONSTRUCTED FROM PERMUTATION PAIRS》一文中研究指出:A property(C) for permutation pairs is introduced. It is shown that if a pair{π1, π2} of permutations of(1,2,…,n) has property(C),then the D-type map Φπ1,π2 on n× n complex matrices constructed from {π1,π2} is positive. A necessary and sufficient condition is obtained for a pair {π1,π2} to have property(C),and an easily checked necessary and sufficient condition for the pairs of the form {πp,πq} to have property(C) is given, whereπ is the permutation defined by π(i) = i + 1 mod n and 1≤ p < q≤ n.

Abstract

A property(C) for permutation pairs is introduced. It is shown that if a pair{π1, π2} of permutations of(1,2,…,n) has property(C),then the D-type map Φπ1,π2 on n× n complex matrices constructed from {π1,π2} is positive. A necessary and sufficient condition is obtained for a pair {π1,π2} to have property(C),and an easily checked necessary and sufficient condition for the pairs of the form {πp,πq} to have property(C) is given, whereπ is the permutation defined by π(i) = i + 1 mod n and 1≤ p < q≤ n.

论文参考文献

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  • 论文详细介绍

    论文作者分别是来自Acta Mathematica Scientia(English Series)的侯晋川,赵海利,发表于刊物Acta Mathematica Scientia(English Series)2019年01期论文,是一篇关于,Acta Mathematica Scientia(English Series)2019年01期论文的文章。本文可供学术参考使用,各位学者可以免费参考阅读下载,文章观点不代表本站观点,资料来自Acta Mathematica Scientia(English Series)2019年01期论文网站,若本站收录的文献无意侵犯了您的著作版权,请联系我们删除。

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