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MR2432174 (2010j:60103) 60G50 (60B11 60H05)
Astashkin, S. V.; Sukochev, F. A. Series of zero-mean independent functions in symmetric spaces with the Kruglov property. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 345 (2007), Issled. po Linein. Oper. i Teor. Funkts. 34, 25--50, 140; translation in J. Math. Sci. (N. Y.) 148 (2008), no. 6, 795–809
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