非交换L_p空间中有关笛卡尔分解的一些不等式(英文)Some Inequalities about Cartesian Decompositions in Noncommutative L_p-spaces
衡明飞,吐尔德别克
摘要(Abstract):
T是一个紧算子且T=A+iB(这里A,B是自伴算子),R.Bhatia和F.Kittaneh已经在[1]中证明了||T||_p与||(A~2+B~2)~(1/2)||_p及(||A||_p~2+||B||_p~2)~(1/2)之间的关系.在本文中,将[1]中的结论由紧算子情形推广到τ-可测算子.
关键词(KeyWords): 冯诺曼代数;τ-可测算子;非交换L_p空间
基金项目(Foundation): supported by NSFC grant No.10761009
作者(Author): 衡明飞,吐尔德别克
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