Szymanski decompositions in von Neumann algebras
Morgan, Ronald Lewis
Morgan, Ronald Lewis
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Date
1980
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Abstract
A 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.
Contents
Subject
Subject(s)
Decomposition (Mathematics)
Von Neumann algebras
Von Neumann algebras
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Genre
Dissertation
Description
Format
iv, 69 leaves, bound
Department
Mathematics