关于不等式φ(A)-1≤φ(A-1)的非对称推广
Some Asymmetric Generations Concerning Inequality φ(A)-1≤φ(A-1)
设A是Hilbert空间H上的严格正算子, φ是保持单位元的正线性映射. 本文利用Furuta不等式, Choi不等式等算子不等式对φ(A)-1≤φ(A-1)进行非对称形式的推广. 即p, q, r, s满足一定条件下有|φ(A-p)-rφ(Aq)s|≤φ(Apr+qs).
Let A be a strictly positive operator on a Hilbert space H, and $Phi$ be a unital positive linear map. In this paper, we shall discuss some asymmetrical extended forms of φ(A)-1≤φ(A-1) via the Furuta inequality, etc.
郝志伟、焦勇
数学
正线性映射Furuta不等式hoi不等式Lowner-Heinz不等式
Postive linear mapFuruta inequalityChoi inequalitLowner-Heinz inequality
郝志伟,焦勇.关于不等式φ(A)-1≤φ(A-1)的非对称推广[EB/OL].(2013-08-07)[2025-08-24].http://www.paper.edu.cn/releasepaper/content/201308-60.点此复制
评论