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New formulas for the spectral radius via λ-Aluthge transform.

Authors :
Chabbabi, Fadil
Mbekhta, Mostafa
Source :
Linear Algebra & its Applications. Feb2017, Vol. 515, p246-254. 9p.
Publication Year :
2017

Abstract

In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterated λ -Aluthge transform, numerical radius and the asymptotic behavior of the powers of this operator. We also obtain several characterizations of normaloid operators. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICAL formulas
*HILBERT space
*OPERATOR theory
*MATHEMATICAL bounds
*RADIUS (Geometry)

Details

Language :
English
ISSN :
00243795
Volume :
515
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
120337623
Full Text :
https://doi.org/10.1016/j.laa.2016.11.022
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