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The \(\Sigma\)-property for positive linear functionals on \(W^*\)-algebras and its application to the problem of unitary mixing in the state space. (English) Zbl 0426.46041

MSC:

46L30 States of selfadjoint operator algebras
46L55 Noncommutative dynamical systems
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[1] Mixing of states of a type I factor, preprint, KMU-HEP-7305, 1973.
[2] On states of a type II1 factor, preprint, KMU-QFT-7501, 1975.
[3] On maximally unitarily mixed states on W*-algebras, preprint, KMU-QFT-6 (1976), 1976.
[4] Les Algèbres d’opérateurs dans l’espace Hilbertien, Paris 1957.
[5] Normierte Algebren, Berlin 1959. · Zbl 0089.10101
[6] C*-algebras and W*-algebras, Berlin–Heidelberg–New York 1971.
[7] W*-algebras, New York–London–Paris 1967.
[8] Uhlmann, Wiss. Z. KMU 21 pp 421– (1972)
[9] Uhlmann, Wiss. Z. KMU 22 pp 139– (1973)
[10] Uhlmann, Wiss. Z. KMU 20 pp 633– (1971)
[11] Uhlmann, Rep. Math. Phys. 7 pp 449– (1975)
[12] Zur Beschreibung irreversibler Quantenprozesse, KMU-QFT-2, published in Abh. Klasse Physik d. AW DDR (1976).
[13] Wehrl, Rep. Math. Phys. 6 pp 15– (1974)
[14] Dichtematrizen in Quantensystemen bei unendlicher Temperatur, preprint, Wien 1974.
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