Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators

Authors

Slaviša Djordjević, Benemerita Universidad Autonoma de Puebla
Jaewoong Kim, Korea Military Academy
Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

9-2022

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.

Comments

© 2020 Informa UK Limited, trading as Taylor & Francis Group

Recommended Citation

Djordjević, Slaviša V., Jaewoong Kim, and Jasang Yoon. "Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators." Linear and Multilinear Algebra 70, no. 13 (2022): 2533-2550. https://doi.org/10.1080/03081087.2020.1804818

Publication Title

Linear and Multilinear Algebra

DOI

10.1080/03081087.2020.1804818