Open AccessSpectral Radius Formulas Involving Generalized Aluthge Transform
Author(s) -
Zhiqiang Zhang,
Muhammad Akram,
Javariya Hyder,
Ghulam Farid,
Yan Tao
Publication year - 2022
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2022/3993044
Subject(s) - mathematics , spectral radius , iterated function , radius , operator (biology) , pure mathematics , mathematical analysis , eigenvalues and eigenvectors , computer science , physics , biochemistry , computer security , transcription factor , repressor , quantum mechanics , gene , chemistry
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.
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