An essential spectra mapping theorem
Copyright policy ) J.J Buoni;
An essential spectra mapping theorem
AbstractLet T be a closed operator on a Hilbert Space H, such that α ϵ p(T), the resolvent of T. Set A = (T − αI)−1. For μ ≠ 0, define λ such that (λ − α)μ = 1. It is shown that λ ϵ essential spectra of T iff μ ϵ essential spectra of A for various definitions of the essential spectra. A number of immediate corollaries are then derived.
- University System of Ohio United States
- Youngstown State University United States
Applied Mathematics, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, Analysis
Applied Mathematics, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, Analysis
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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