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dc.contributor.advisorKalton, Nigel J. (Nigel John), 1946-en
dc.contributor.authorKucherenko, Tamaraen_US
dc.date.issued2005eng
dc.date.submitted2005 Summeren
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.en_US
dc.descriptionTitle from title screen of research.pdf file viewed on (July 18, 2006)en_US
dc.descriptionIncludes bibliographical references.en_US
dc.descriptionVita.en_US
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2005.en_US
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.en_US
dc.description.abstractWe introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem and hence demonstrate the power and usefulness of our new concept. In trying to characterize spaces where sectorial operators have absolute calculus, we find that certain real interpolation spaces play a central role. We are then extending various known results in this setting. The idea of unifying theorems about sectorial operators on real interpolation spaces permeates our work and opens paths for future research on this subject.en_US
dc.identifier.merlin.b55893417en_US
dc.identifier.otherKucherenkoT-072005-2609en_US
dc.identifier.urihttp://hdl.handle.net/10355/4155
dc.publisherUniversity of Missouri--Columbiaen_US
dc.relation.ispartof2005 Freely available dissertations (MU)en_US
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2005 Dissertations
dc.subject.lcshFunctional analysisen_US
dc.subject.lcshCalculusen_US
dc.subject.lcshOperator theoryen_US
dc.subject.lcshInterpolation spacesen_US
dc.titleThe absolute functional calculus for sectorial operatorsen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineMathematicseng
thesis.degree.grantorUniversity of Missouri--Columbiaen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePh. D.en_US


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