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

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.

Let T be a compact operator with T = A＋iB, where A and B are self-adjoint operators. The ralations between ｜｜T｜｜p, ｜｜（A^2＋B^2）^1/2 ｜｜p and （｜｜A｜｜p^2＋｜｜B｜｜p^2）^1/2 have been proved by R. Bhatia and F. Kittaneh in paper [1]. In this paper, we extend the results in [1] to T-measurable operators.