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Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators.
- Source :
- Linear & Multilinear Algebra; Sep2022, Vol. 70 Issue 13, p2533-2550, 18p
- Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- PENCILS
MAP projection
LINEAR operators
COMMUTING
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 159296884
- Full Text :
- https://doi.org/10.1080/03081087.2020.1804818