Geodesic
$H^∞$ functional calculus in real interpolation spaces
Studia Mathematica, Tome 137 (1999) no. 2, pp. 161-167

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Let A be a linear closed densely defined operator in a complex Banach space X. If A is of type ω (i.e. the spectrum of A is contained in a sector of angle 2ω, symmetric around the real positive axis, and $∥λ(λ I - A)^{-1}∥$ is bounded outside every larger sector) and has a bounded inverse, then A has a bounded $H^∞$ functional calculus in the real interpolation spaces between X and the domain of the operator itself.
DOI : 10.4064/sm-137-2-161-167

Giovanni Dore 1

1 
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Giovanni Dore. $H^∞$ functional calculus in real interpolation spaces. Studia Mathematica, Tome 137 (1999) no. 2, pp. 161-167. doi: 10.4064/sm-137-2-161-167

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