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On the von neumann algebras generated by field operators

✍ Scribed by M. Guenin; B. Misra

Book ID
112904881
Publisher
Società Italiana di Fisica
Year
1963
Weight
921 KB
Volume
30
Category
Article
ISSN
0029-6341

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On Power-Bounded Operators in Finite von
On Power-Bounded Operators in Finite von Neumann Algebras
✍ Gilles Cassier; Thierry Fack 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 717 KB

It is proved that any power-bounded operator of class C 1, } in a finite von Neumann algebra is conjugate to a unitary. This solves a conjecture stated by I. Kovacs in 1970. An important ingredient of the proof is the study of completely positive projections on some operator space.