REMARKS ON THE MURRAY-VON NEUMANN EQUIVALENCE OF PROJECTIONS
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2024-02-19
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In this paper, we characterize Murray-von Neumann equivalent projec- tions. We also investigate and compare the relationship between the Murray- von Neumann relation and other equivalence relations on the set P(B(H)) of orthogonal projections in the von Neumann algebra B(H).
Abstract
In this paper, we characterize Murray-von Neumann equivalent projec-
tions. We also investigate and compare the relationship between the Murray-
von Neumann relation and other equivalence relations on the set P(B(H)) of
orthogonal projections in the von Neumann algebra B(H).