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Some affine geometric
aspects of operator algebras
Yaakov Friedman and Bernard Russo |
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Vol. 137 (1989), No. 1, 123–144
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Abstract |
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The predual of a von Neumann algebra is shown to be a neutral strongly facially symmetric space, thereby suggesting an affine geometric approach to operator algebras and their non-associative analogues. Geometric proofs are obtained for the polar decompositions of normal functionals in ordered and non-ordered settings. |
Mathematical Subject Classification 2000
Primary: 46L10
Secondary: 17C65, 46L70
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Milestones
Received: 10 March 1988
Published: 1 March 1989
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Authors |
| Yaakov Friedman | |
| Bernard Russo | |
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