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A non-commutative version of Nikishin’s theorem

Authors
Journal
Indagationes Mathematicae
0019-3577
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.indag.2014.09.001
Keywords
  • Von Neumann Algebra
  • Tracial Normal State
  • Measurable Operator
  • Positive Operator
  • Factorization Of Operators
Disciplines
  • Mathematics

Abstract

Abstract Let τ be a tracial normal state on a von Neumann algebra, L1(τ) be the space of integrable self-adjoint operators, and S be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to S can be factorized through L1(τ).

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