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A Functional Calculus for (α, α+ 1)− type R Operators
(Int. Journal of Math. Analysis,, 2010)
A closed densely defined operator H, on a Banach space X, whose
spectrum is contained in R and satisfies
(z − H)−1
≤ c
z α
| z|β
∀ z ∈ R with z α :=
|z|2 + 1 (1)
for some α , β ≥ 0; c > 0, is said to ...