On Relation between the Joint Essential Spectrum and the Joint Essential Numerical Range of Aluthge Transform

Cyprian, O. S. (2021) On Relation between the Joint Essential Spectrum and the Joint Essential Numerical Range of Aluthge Transform. Journal of Advances in Mathematics and Computer Science, 36 (8). pp. 1-9. ISSN 2456-9968

[thumbnail of 1604-Article Text-3145-1-10-20221012.pdf] Text
1604-Article Text-3145-1-10-20221012.pdf - Published Version
Download (317kB)

Abstract

Associated with every commuting m-tuples of operators on a complex Hilbert space X is its Aluthge transform. In this paper we show that every commuting m-tuples of operators on a complex Hilbert space X and its Aluthge transform have the same joint essential spectrum. Further, it is shown that the joint essential spectrum of Aluthge transform is contained in the joint essential numerical range of Aluthge transform.

Item Type: Article
Subjects: Universal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 15 Feb 2023 05:05
Last Modified: 22 Jun 2024 07:56
URI: http://journal.article2publish.com/id/eprint/1343

Actions (login required)

View Item
View Item