Geodesic
Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 4, pp. 811-814

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In this paper a.s. convergence of Banach space valued $L_q$-mixingale sequences is proved. The result is used to establish a strong law of large numbers for Banach space valued $L_q$-mixingale sequences which has not been established previously. Conversely, $q$-smoothable Banach spaces are characterized in terms of strong laws of large numbers for these sequences.
Keywords: strong law of large numbers, Banach space valued $L_q$-mixingale sequences, smoothness of Banach space.
Mots-clés : a.s. convergence 
@article{TVP_2001_46_4_a14,
     author = {Gan Shixin},
     title = {Strong {Laws} of {Large} {Numbers} for $B${-Valued} $L_q${-Mixingale} {Sequences} and the $q${-Smoothness} of {Banach} {Space}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {811--814},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_4_a14/}
}
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Gan Shixin. Strong Laws of Large Numbers for $B$-Valued $L_q$-Mixingale Sequences and the $q$-Smoothness of Banach Space. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 4, pp. 811-814. http://geodesic.mathdoc.fr/item/TVP_2001_46_4_a14/