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dc.contributor.advisorKalton, Nigel J. (Nigel John), 1946-eng
dc.contributor.authorKucherenko, Tamaraeng
dc.date.issued2005eng
dc.date.submitted2005 Summereng
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.eng
dc.descriptionTitle from title screen of research.pdf file viewed on (July 18, 2006)eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionVita.eng
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2005.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
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.eng
dc.identifier.merlin.b55893417eng
dc.identifier.otherKucherenkoT-072005-2609eng
dc.identifier.urihttp://hdl.handle.net/10355/4155eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartof2005 Freely available dissertations (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2005 Dissertationseng
dc.subject.lcshFunctional analysiseng
dc.subject.lcshCalculuseng
dc.subject.lcshOperator theoryeng
dc.subject.lcshInterpolation spaceseng
dc.titleThe absolute functional calculus for sectorial operatorseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng
thesis.degree.namePh. D.eng


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