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Homomorphisms on an orthogonally decomposable Hilbert space V
Published online by Cambridge University Press: 17 April 2009
Abstract
For a triple (M, H,ξ0) of a von Neumann algebra M on a Hilbert space H with a cyclic and separating vector ξ0, every order isormorphism ø, of H such that øξ0 = ξ0 is an orthogonal decomposition isomorphism if and only if ξ0 is a trace vector.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 333 - 336
- Copyright
- Copyright © Australian Mathematical Society 1989