Geodesic
Additivity of the variance is a characteristic property of the Hilbert space $L_2(\Omega,A,\mu)$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 3, pp. 66-68.

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M. A. Baidak; M. Sh. Braverman; Yu. I. Petunin. Additivity of the variance is a characteristic property of the Hilbert space $L_2(\Omega,A,\mu)$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 3, pp. 66-68. http://geodesic.mathdoc.fr/item/FAA_1983_17_3_a9/

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