Facially Symmetric Spaces and Predual Ones of Hermitian Part of von Neumann Algebras
We prove that predual of real part of von Neumann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of I 2 type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only.
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Veröffentlicht in: | Russian mathematics 2018-05, Vol.62 (5), p.27-33 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We prove that predual of real part of von Neumann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of
I
2
type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only. |
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ISSN: | 1066-369X 1934-810X |
DOI: | 10.3103/S1066369X18050055 |