The stability radius of a quasi-Fredholm operator
Copyright policy )The stability radius of a quasi-Fredholm operator
We extend the technique used by Kordula and Müller to show that the stability radius of a quasi-Fredholm operator T T is the limit of γ ( T n ) 1 / n \gamma (T^n)^{1/n} as n → ∞ n\rightarrow \infty . If 0 0 is an isolated point of the Apostol spectrum σ γ ( T ) \sigma _\gamma (T) , then the above limit is non-zero if and only if T T is quasi-Fredholm.
- University of Melbourne Australia
quasi-Fredholm operators, Perturbation theory of linear operators, ascent, Apostol spectrum, stability radius, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, descent, semi-regular
quasi-Fredholm operators, Perturbation theory of linear operators, ascent, Apostol spectrum, stability radius, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, descent, semi-regular
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