H∞ functional calculus in real interpolation spaces
Dore, Giovanni
Studia Mathematica, Tome 133 (1999), p. 161-167 / Harvested from The Polish Digital Mathematics Library
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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(λI-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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216681 
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Dore, Giovanni. $H^∞$ functional calculus in real interpolation spaces. Studia Mathematica, Tome 133 (1999) pp. 161-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p161bwm/

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