拟相似算子的右本质谱的连通分支

苏维钢

数学学报 ›› 2005, Vol. 48 ›› Issue (5) : 993-998.

PDF(384 KB)
PDF(384 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (5) : 993-998. DOI: 10.12386/A2005sxxb0121
论文

拟相似算子的右本质谱的连通分支

    苏维钢
作者信息 +

Components of the Right Essential Spectrum of Quasisimilar Operators

    Wei Gang SU
Author information +
文章历史 +

摘要

设算子S和T拟相似,通过引进RT类算子、R类算子和RR类算子的概念,给出右本质谱σre(S)的连通分支与σre(T)相交的充分条件和必要条件以及σre(S)的连通分支与本质谱盯σe(T)的某些子集的相交关系,并给出算子是属于RT类算子和RR类算子的充分条件和必要条件.

Abstract

Let S and T be quasisimilar operators. By introducing the concepts of the RT-class operator, the -R-class operator and the RR-class operator, this paper gives some sufficient and necessary conditions under which each component of σre(5) intersects σre(T), and gives some sufficient conditions under which each component of σre(S) intersets some subsets of σ3(T), and also gives some sufficient and necessary conditions under which an operator is an RT-class operator and an RR-class operator respectively.

关键词

拟相似 / 右本质谱 / 有界线性算子

引用本文

导出引用
苏维钢. 拟相似算子的右本质谱的连通分支. 数学学报, 2005, 48(5): 993-998 https://doi.org/10.12386/A2005sxxb0121
Wei Gang SU. Components of the Right Essential Spectrum of Quasisimilar Operators. Acta Mathematica Sinica, Chinese Series, 2005, 48(5): 993-998 https://doi.org/10.12386/A2005sxxb0121
PDF(384 KB)

Accesses

Citation

Detail

段落导航
相关文章

/