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A note on states of von Neumann algebras
Applications of Mathematics, Tome 24 (1979) no. 3, pp. 199-200 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
DOI : 10.21136/AM.1979.103796
Classification : 46L30, 46L45, 46L60, 81T05
Keywords: states of von Neumann algebras; projections; direct sum decomposition; quantum field theory 
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     title = {A note on states of von {Neumann} algebras},
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Thaheem, A. B. A note on states of von Neumann algebras. Applications of Mathematics, Tome 24 (1979) no. 3, pp. 199-200. doi: 10.21136/AM.1979.103796

[1 ] S. Sakai: $C^*$-algebras and $W^*$-algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. Springer-Verlag, Berlin, 1971. | MR | Zbl

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