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Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2020-08-20 , DOI: 10.1080/03081087.2020.1804818
Slaviša V. Djordjević 1 , Jaewoong Kim 2 , Jasang Yoon 3
Affiliation  

ABSTRACT

In this paper, we review and investigate some properties of a linear pencil in the frame of the point spectrum and an isolated point in its spectrum. We next give relationships among the spectrum of the linear pencil, the Taylor spectrums of a commuting pair and its spherical Aluthge transform through projection maps and the spectral mapping theorem.



中文翻译:

球面 Aluthge 变换、线性铅笔和一对通勤算子的光谱

摘要

在本文中,我们回顾和研究了线性铅笔在点谱框架中的一些性质和在其谱中的孤立点。接下来我们通过投影映射和谱映射定理给出线性铅笔的谱、通勤对的泰勒谱及其球面Aluthge变换之间的关系。

更新日期:2020-08-20
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