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Research Article Open access CC BY 4.0

Remarks on the Murray-von Neumann Equivalence of Projections

Bernard M. Nzimbi, B. N. Kiratu, I. N. Sitati, S. Towett

Journal of Advances in Mathematics and Computer Science · pp. 68–82 · Published 21 Jan 2023

10.9734/jamcs/2023/v38i11740

Abstract

In this paper, we characterize Murray-von Neumann equivalent projections. 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).

Partial isometry orthogonal projection Murray-von Neumann equivalence unitary equivalence metric equivalence central carrier

References (10)

  1. 1 A Hilbert Space Problem Book [DOI]
  2. 2 Linear Operators in Hilbert Spaces [DOI]
  3. 3 LINEAR SYSTEMS AND OPERATORS IN HILBERT SPACE [DOI]
  4. 4 Elements of Operator Theory [DOI]
  5. 5 Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space
  6. 6 Multiple Canonical Decompositions of Families of Operators and a Model of Quasinormal Families [DOI]
  7. 7 Unitary equivalence and decompositions of finite systems of closed densely defined operators in Hilbert spaces [DOI]
  8. 8 A note on metric equivalence of some operators
  9. 9 Equivalence of Projections [DOI]
  10. 10 Steering projections in von Neumann algebras [DOI]

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