On Power-Bounded Operators in Finite von
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Gilles Cassier; Thierry Fack
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Article
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1996
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Elsevier Science
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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.