Abstract
A von Neumann algebra A on a separable, complex Hilbert space H has property A n if for every n × n array {f i , j } of elements in the predual there exist sequences {x i }, {y j } in H such that f i , j (a) = (ax i , y j ) for all a in A and 0 ≤ i, j < n. We characterize the type I von Neumann algebras with property A n .
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References
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Marsalli, M. (1998). The Predual of a Type I Von Neumann Algebra. In: Bercovici, H., Foias, C.I. (eds) Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics. Operator Theory Advances and Applications, vol 104. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8779-3_11
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DOI: https://doi.org/10.1007/978-3-0348-8779-3_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9771-6
Online ISBN: 978-3-0348-8779-3
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