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The positive contractive part of a noncommutative Lp-space is a complete Jordan invariant

Article ID Journal Published Year Pages File Type
5773209 Linear Algebra and its Applications 2017 9 Pages PDF
Abstract
Let 1≤p≤+∞. We show that the positive part of the closed unit ball of a non-commutative Lp-space, as a metric space, is a complete Jordan ⁎-invariant for the underlying von Neumann algebra.
Keywords
46L1054E3546L52primarysecondaryMetric spaces
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
The positive contractive part of a noncommutative Lp-space is a complete Jordan invariant
Authors
Chi-Wai Leung, Chi-Keung Ng, Ngai-Ching Wong,
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Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
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46L10
54E35
46L52
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