Spectral Radius Formulas Involving Generalized Aluthge Transform. (14th March 2022)

• Record Type: Journal Article
• Authors: Zhang, Zhiqiang; Akram, Muhammad Saeed; Hyder, Javariya; Farid, Ghulam; Yan, Tao
• Other Names: Cinar Muhammed Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-14
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3993044
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S . These formulas generalize some of the formulas of spectral radius existing in literature. As an application, these formulas are used to obtain several characterizations of normaloid operators.