Accessible Information Without Disturbing Partially Known Quantum States on a von Neumann Algebra
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DOI: 10.1007/s10773-018-3749-8
Abstract: This paper addresses the problem of how much information we can extract without disturbing a statistical experiment, which is a family of partially known normal states on a von Neumann algebra. We define the classical… read more here.
Keywords: without disturbing; states von; neumann algebra; partially known ... See more keywords
Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras
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DOI: 10.1016/j.aim.2021.108104
Abstract: We establish several deep existence criteria for conditional expectations on von Neumann algebras, and then apply this theory to develop a noncommutative theory of representing measures of characters of a function algebra. Our main cycle… read more here.
Keywords: algebra conditional; conditional expectations; neumann algebra; representing measures ... See more keywords
Positively factorizable maps
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DOI: 10.1016/j.laa.2021.09.003
Abstract: We initiate a study of linear maps on $M_n(\mathbb{C})$ that have the property that they factor through a tracial von Neumann algebra $(\mathcal{A,\tau})$ via operators $Z\in M_n(\mathcal{A})$ whose entries consist of positive elements from the… read more here.
Keywords: neumann algebra; factorizable maps; positively factorizable; von neumann ... See more keywords
Ideal Spaces of Measurable Operators Affiliated to A Semifinite Von Neumann Algebra
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DOI: 10.1134/s0037446618020064
Abstract: Suppose that M is a von Neumann algebra of operators on a Hilbert space H and τ is a faithful normal semifinite trace on M. Let E, F and G be ideal spaces on (M,… read more here.
Keywords: operators affiliated; neumann algebra; spaces measurable; ideal spaces ... See more keywords