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An application of
Dye’s theorem on projection lattices to orthogonally
decomposable isomorphisms
Huzihiro Araki |
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Vol. 137 (1989), No. 1, 1–13
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Abstract |
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The predual M∗ of a von Neumann algebra M is an orthogonally decomposable ordered Banach space in the sense of Yamamuro. By an application of Dye’s theorem on projection lattices, it is shown that the isomorphism of this structure is implemented by a Jordan automorphism of M if M is of type I without direct summands of type I2 in the large. |
Mathematical Subject Classification
Primary: 46L50, 46L50
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Milestones
Received: 23 February 1988
Revised: 16 June 1988
Published: 1 March 1989
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Authors |
| Huzihiro Araki | |
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