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In this paper, we give a complete description of left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. As a consequence, except for $\mathbb{C}$ , $\ell… Click to show full abstract
In this paper, we give a complete description of left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. As a consequence, except for $\mathbb{C}$ , $\ell _{\infty }^{2}$ and $M_{2}(\mathbb{C})$ , there are no von Neumann algebras whose preduals have nonzero left symmetric points for Birkhoff orthogonality.
Keywords:
neumann algebras;
points birkhoff;
birkhoff orthogonality;
symmetric points;
left symmetric;
von neumann
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2018
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Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2018
Link to full text (if available)
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recommendations!