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dc.contributor.advisorDoran, Robert S.
dc.contributor.authorMorgan, Ronald Lewisen_US
dc.description.abstractA systematic study of the families of projections used in the proof of Szymanski's Decomposition Theorem for Operator-valued Functions is used to generalize that result to non-hereditary properties, to sets of operators or operator-valued functions, and to sets of properties. It is demonstrated that Szymanski's conditions in fact form a characterization of the most commonly studied case of parts-decomposition results. The new results are combined with generalizations of Kubo's definition of algebraically semi-definite properties of operators to produce a simple and unified proof of a large class of parts decompositions for operator-valued functions.
dc.format.extentiv, 69 leaves, bounden_US
dc.format.mediumFormat: Printen_US
dc.relation.ispartofTexas Christian University dissertationen_US
dc.subject.lcshDecomposition (Mathematics)en_US
dc.subject.lcshVon Neumann algebrasen_US
dc.titleSzymanski decompositions in von Neumann algebrasen_US
dc.typeTexten_US of Mathematics
local.collegeCollege of Science and Engineering
local.academicunitDepartment of Mathematics
dc.identifier.callnumberMain Stacks: AS38 .M663 (Regular Loan)
dc.identifier.callnumberSpecial Collections: AS38 .M663 (Non-Circulating) of Philosophy Christian University

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