Geodesic
A Lebesgue Decomposition Theorem for C * Algebras
Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 87-91

Voir la notice de l'article provenant de la source Cambridge University Press

This paper, by generalizing von Neumann's proof of the Radon-Nikodym and Lebesgue decomposition theorems [3], obtains analogous results for positive linear functional on a C * algebra. The concept of "absolute continuity" used and the Radon-Nikodym portion of the resulting theorem are due to Dye [2]. 
Henle, Michael. A Lebesgue Decomposition Theorem for C * Algebras. Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 87-91. doi: 10.4153/CMB-1972-016-2
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[1] 1. Dixmier, J., Les C*-Algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. Google Scholar

[2] 2. Dye, H., "The Radon-Nikodym theorem for finite rings of operators", Trans. Amer. Math. Soc. 72 (1952), 243-280. Google Scholar

[3] 3. Riesz, F. and Sz.-Nagy, B., Functional analysis, Ungar, New York (1955), 137-140. Google Scholar

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