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A Riesz theory in von
Neumann algebras
Anton Ströh and Johan Swart |
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Vol. 148 (1991), No. 1, 169–180
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Abstract |
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An operator T is called a Riesz operator relative to a von Neumann algebra 𝒜 if T −λI is Fredholm relative to 𝒜 for each λ≠0. Properties of Riesz operators are studied and a geometrical characterization of these operators are given. This characterization is used to show that a Riesz type of decomposition holds. |
Mathematical Subject Classification 2000
Primary: 46L10
Secondary: 47B06, 47D25
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Milestones
Received: 15 October 1988
Published: 1 March 1991
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Authors |
| Anton Ströh | |
| Johan Swart | |
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