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dc.contributor.authorBest, Georgeen_US
dc.date.accessioned2019-04-08T17:22:43Z
dc.date.issued1966
dc.date.submitted1966
dc.identifier.otherb14571146
dc.identifier.urihttps://hdl.handle.net/2144/34454
dc.descriptionThesis (M.A.)--Boston Universityen_US
dc.descriptionPLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you.en_US
dc.description.abstractThe purpose of this paper is to present a modified version of Riesz's proof of the spectral theorem for bounded linear operators. The modifications employed are those suggested by S. K. Berberian (5, page 1049). The basic properties of Hilbert space are presented in Chapter I. Chapter II is a discussion of linear operators which includes consideration of functionals, self-adjoint operators, and the spectrum of an operator. The spectral decomposition of a bounded self-adjoint operator is presented in Chapter III. The material in the paper is based primarily on the references in the bibliography. Most of the nontrival proofs have been carried out in detail.en_US
dc.language.isoen_US
dc.publisherBoston Universityen_US
dc.subjectHilbert spaceen_US
dc.subjectLinear operatorsen_US
dc.titleLinear operators in Hilbert spaceen_US
dc.typeThesis/Dissertationen_US
dc.description.embargo2031-01-01
etd.degree.nameMaster of Artsen_US
etd.degree.levelmastersen_US
etd.degree.disciplineMathematicsen_US
etd.degree.grantorBoston Universityen_US
dc.identifier.barcode11719025609100
dc.identifier.mmsid99181585720001161


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