Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Subject "eigenvalues"
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Operators with slowly growing resolvents towards the spectrum
(Academic Publications, 1/13/2009)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z −H)−1 ≤ c hziα |=z|β ∀ z 6∈ R (0.1) for some α , β ≥ 0; c > 0, is said to be of (α, β)−type R . If instead of (0.1) ...