The absolute functional calculus for sectorial operators

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The absolute functional calculus for sectorial operators

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/4155

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dc.contributor.advisor Kalton, Nigel J. (Nigel John), 1946- en
dc.contributor.author Kucherenko, Tamara en_US
dc.date.accessioned 2010-01-06T21:19:28Z
dc.date.available 2010-01-06T21:19:28Z
dc.date.issued 2005 en_US
dc.date.submitted 2005 Summer en
dc.identifier.other KucherenkoT-072005-2609 en_US
dc.identifier.uri http://hdl.handle.net/10355/4155
dc.description The 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.description Title from title screen of research.pdf file viewed on (July 18, 2006) en_US
dc.description Includes bibliographical references. en_US
dc.description Vita. en_US
dc.description Thesis (Ph. D.) University of Missouri-Columbia 2005. en_US
dc.description Dissertations, Academic -- University of Missouri--Columbia -- Mathematics. en_US
dc.description.abstract We 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.language.iso en_US en_US
dc.publisher University of Missouri--Columbia en_US
dc.relation.ispartof 2005 Freely available dissertations (MU) en_US
dc.subject.lcsh Functional analysis en_US
dc.subject.lcsh Calculus en_US
dc.subject.lcsh Operator theory en_US
dc.subject.lcsh Interpolation spaces en_US
dc.title The absolute functional calculus for sectorial operators en_US
dc.type Thesis en_US
thesis.degree.discipline Mathematics en_US
thesis.degree.grantor University of Missouri--Columbia en_US
thesis.degree.name Ph. D. en_US
thesis.degree.level Doctoral en_US
dc.identifier.merlin .b55893417 en_US
dc.relation.ispartofcommunity University of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2005 Dissertations


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