Unitary operators in real von Neumann algebras
β Scribed by J.C. Navarro-Pascual; M.A. Navarro
- Book ID
- 113721532
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 149 KB
- Volume
- 386
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The starting points for this paper are simple descriptions of the norm and strong\* closures of the unitary orbit of a normal operator in a von Neumann algebra. The statements are in terms of spectral data and do not depend on the type or cardinality of the algebra. We relate this to several known
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.