The positive contractive part of a noncommutative Lp-space is a complete Jordan invariant
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AbstractLet 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.
Acceptance Date22/12/2016
All Author(s) ListChi-Wai Leung, Chi-Keung Ng, Ngai-Ching Wong
Journal nameLinear Algebra and its Applications
Year2017
Month4
Day15
Volume Number519
Pages102 - 110
ISSN0024-3795
LanguagesEnglish-United States
KeywordsNon-commutative Lp-spaces, Positive contractive elements, Metric spaces, Bijective isometries, Jordan ⁎-isomorphisms

Last updated on 2021-25-01 at 02:32