王云;闫成;

• 1:新疆大学数学与系统科学学院

摘要(Abstract)：

本文利用优化理论及拟范数的性质研究了与Hayajneh-Kittaneh猜想相关的算子不等式.设E(M)是非交换对称拟Banach空间,x_i∈E(M)^((p)((p)⁺),y_i∈E(M)+),y_i∈E(M)^((p)((p)⁺)使得x_iy_i=y_ix_i,i=1,2,…,n,我们证明了‖(∑_(j=1)+)使得x_iy_i=y_ix_i,i=1,2,…,n,我们证明了‖(∑_(j=1)^kx_ikx_i^(1/2)y_i(1/2)y_i^(1/2))(1/2))²‖_(E(M)2‖_(E(M)^((r)))≤‖(∑_(j=1)((r)))≤‖(∑_(j=1)^kx_i)kx_i)^(1/2)(∑_(j=1)(1/2)(∑_(j=1)^ky_i)(∑_(j=1)ky_i)(∑_(j=1)^kx_i)kx_i)^(1/2)‖_(E(M)(1/2)‖_(E(M)^((r)))≤‖(∑_(j=1)((r)))≤‖(∑_(j=1)^kx_i)(∑_(j=1)kx_i)(∑_(j=1)^ky_i)‖_(E(M)ky_i)‖_(E(M)^((r)))其中1≤p,q,r<∞且1/r=1/p+1/q.同时我们还给出了一些与log-次优化相关的不等式.

关键词(KeyWords)： log-次优化不等式;von Neumann代数;非交换对称拟Banach空间

Abstract:

Keywords:

基金项目(Foundation): 天山青年计划-优秀科技人才项目(2018Q012);; 新疆维吾尔自治区自然科学基金(2018D01C073);; 国家自然科学基金(11761067)~~

作者(Authors): 王云;闫成;

DOI: 10.13568/j.cnki.651094.651316.2020.06.06.0002

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