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Radon-Nikodým theorem for ∗-algebras
Stanley P. Gudder |
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Vol. 80 (1979), No. 1, 141–149
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Abstract |
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A noncommutative Radon-Nikodym theorem is developed in the context of ∗-algebras. Previous results in this direction have assumed a dominance condition which results in a bounded “Radon-Nikodym derivative”. The present result achieves complete generality by only assuming absolute continuity and in this case the “Radon-Nikodym derivative” may be unbounded. A Lebesgue decomposition theorem is established in the Banach ∗-algebra case. |
Mathematical Subject Classification 2000
Primary: 46L50, 46L50
Secondary: 46K05
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Milestones
Received: 24 February 1978
Revised: 13 July 1978
Published: 1 January 1979
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Authors |
| Stanley P. Gudder | |
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