New formulas for the spectral radius via λ-Aluthge transform
| Autor: | Fadil Chabbabi, Mostafa Mbekhta |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Numerical Analysis
Algebra and Number Theory Spectral radius 010102 general mathematics Polar decomposition Mathematical analysis 0211 other engineering and technologies Hilbert space 021107 urban & regional planning 02 engineering and technology Radius 01 natural sciences Bounded operator symbols.namesake Operator (computer programming) Iterated function symbols Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Linear Algebra and its Applications. 515:246-254 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2016.11.022 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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