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On homomorphisms of an orthogonally decomposable Hilbert space, III

Part of: Topological linear spaces and related structures

Published online by Cambridge University Press:  09 April 2009

Fumio Hiai  and
Sadayuki Yamamuro
Fumio Hiai
Affiliation:
Division of Applied Mathematics, Research Institute of Applied Electricity Hokkaido University, Sapporo, Japan
Sadayuki Yamamuro
Affiliation:
Department of Mathematics, Institute of Advanced Studies Australian National University, Canberra, ACT, Australia
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Abstract

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A hyperfinite von Neumann algebra satisfies the condition that every o.d. homomorphism is a normal operator if and only if it is a factor of type In.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 287 - 295
Copyright
Copyright © Australian Mathematical Society 1988

References

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