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Algebras of bounded operators on nonclassical orthomodular spaces

✍ Scribed by Hans A. Keller; Herminia A. Ochsenius

Publisher: Springer
Year: 1994
Tongue: English
Weight: 507 KB
Volume: 33
Category: Article
ISSN: 0020-7748
DOI: 10.1007/bf00671609

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Providence) concerning bounded composition operators on weighted Bergman spaces of the unit disk. The main result is the following: if G i = e -h i for i = 1 2 are weight functions in a certain range for which h 1 r /h 2 r → ∞ as r → 1 then there is a self-map of the unit disk such that the induced

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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.