✦ LIBER ✦

On Power-Bounded Operators in Finite von Neumann Algebras

✍ Scribed by Gilles Cassier; Thierry Fack

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 717 KB
Volume: 141
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.0124

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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