Abstract
LetA be a linear closed one-to-one operator in a complex Banach spaceX, having dense domain and dense range. IfA is of type! (i.e. the spectrum ofA is contained in a sector of angle 2!, symmetric about the real positive axis, and k (I A) 1 k is bounded outside every larger sector), then A has a bounded H 1 functional calculus in the real interpolation spaces between X and the intersection of the domain and the range of the operator itself.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
