蒋雪瑶,韩亚洲

• 1:新疆大学数学与系统科学学院

摘要(Abstract)：

本文利用广义奇异值的方法给出了与半有限冯·诺依曼代数中算子的Heinz均值相关的log-次优化不等式,将相对应的一些矩阵形式的不等式推广到了算子的情形,并得到了如下结论:Λh(f(x)g(y)+f(y)g(x))≤Λ_h~(1/2)((f (x)~2+f (y)~2)(g(x)~2+g(y)~2)),其中0≤x, y∈M, h> 0, f和g都是算子凹函数.同时我们还得到了一些与Heinz均值相关的其它形式的log-次优化不等式.

关键词(KeyWords)： 冯·诺依曼代数;log-次优化不等式;可测算子

Abstract:

Keywords:

基金项目(Foundation): 天山青年计划-优秀科技人才项目(2018Q012);; 国家自然科学基金(11761067)~~

作者(Author): 蒋雪瑶,韩亚洲

DOI: 10.13568/j.cnki.651094.651316.2020.06.19.0001

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