New formulas for the spectral radius via Aluthge transform
Functional Analysis
2016-06-21 v1 Spectral Theory
Abstract
In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterates of Aluthge transformation, numerical radius and the asymptotic behavior of the powers of this operator. Also we obtain several characterizations of normaloid operators.
Cite
@article{arxiv.1606.06158,
title = {New formulas for the spectral radius via Aluthge transform},
author = {Fadil Chabbabi and Mostafa Mbekhta},
journal= {arXiv preprint arXiv:1606.06158},
year = {2016}
}