查询词典 ring of operators

We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系，完全刻画了Banach空间上标准算子代数，JSL代数和套代数上的初等映射；讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系，进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射；刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

C~*—algebra; Operator space; Ternary ring of operators; Universal free product; Full amalgamated free product; TRO—homomorphism;*—homomorphism

基础科学，数学，数学分析C~*-代数；算子空间；算子三元环；泛自由积；全融合自由积； TRO-同态；*-同态

In this paper, we shall apply this concept to the ring of linear operators on Banach space X and prove that if a linear operator T on a Banach space X is defined in all of X and has finite descent and ascent then there is a Drazin inverse T~D satisfying TT~DT~k=T~k, T~DTT~D= T~D, and T~DT=TT~D for some nonegative integer k.

以后又对方阵的Drazin逆作了深入的研究。它的一些性质可以参阅。同时对它的应用也作了许多研究，例如可以把Drazin逆的概念应用到Markov过程、线性微分方程组、差分方程组和最优控制等方面。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。