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- W1555604344 abstract "We prove that the predual of any von Neumann algebra is $1$-Plichko, i.e., it has a countably $1$-norming Markushevich basis. This answers a question of the third author who proved the same for preduals of semifinite von Neumann algebras. As a corollary we obtain an easier proof of a result of U.~Haagerup that the predual of any von Neumann algebra enjoys the separable complementation property. We further prove that the self-adjoint part of the predual is $1$-Plichko as well." @default.
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- W1555604344 date "2016-07-01" @default.
- W1555604344 modified "2023-10-18" @default.
- W1555604344 title "On Markushevich bases in preduals of von Neumann algebras" @default.
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- W1555604344 doi "https://doi.org/10.1007/s11856-016-1365-y" @default.
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