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dc.contributor.advisorKalton, Nigel J. (Nigel John), 1946-eng
dc.contributor.authorCowell, Simon, 1977-eng
dc.date.issued2009eng
dc.date.submitted2009 Springeng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on Feb. 20, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Professor Nigel J. Kalton.eng
dc.descriptionVita.eng
dc.descriptionPh. D. University of Missouri--Columbia 2009.eng
dc.description.abstractWe show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1-unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group of units] [plus][chi] [group of units] [subscript n] [norms] [equals] lim [subscript n] [subscript arrow] [subscript infinity][nearest integer function] [norms] [chi][group of units] [minus] [chi] [group of units] [subscript n] [norms] whenever [chi] [group of units] [element of][Chi] [group of units] ([chi][group of units][subscript n]) [superscript infinity] [subscript n[equals]₁ is a weak [group of units] - null sequence and both limits exist. If [Chi] is reflexive then [Upsilon] can be assumed reflexive. These results provide the isometric counterparts of recent work of Johnson and Zheng.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.format.extentiv, 75 pageseng
dc.identifier.oclc525198462eng
dc.identifier.urihttps://hdl.handle.net/10355/6149
dc.identifier.urihttps://doi.org/10.32469/10355/6149eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshIsometrics (Mathematics)eng
dc.subject.lcshBanach spaceseng
dc.titleAsymptotic unconditionality in Banach spaceseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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