Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672775 | Indagationes Mathematicae | 2015 | 5 Pages |
Abstract
Let ττ be a tracial normal state on a von Neumann algebra, L1(τ)L1(τ) be the space of integrable self-adjoint operators, and SS be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to SS can be factorized through L1(τ)L1(τ).
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
O.E. Tikhonov, L.V. Veselova,