This is an announcement for the paper "On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p" by S. Astashkin, F. Sukochev, and D. Zanin.
Abstract: Let 1\leq p<2 and let L_p=L_p[0,1] be the classical L_p-space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero random variable f from L_p spans in L_p a subspace isomorphic to some Orlicz sequence space l_M. We present precise connections between M and f and establish conditions under which the distribution of a random variable f whose independent copies span l_M in L_p is essentially unique.
Archive classification: math.FA
Mathematics Subject Classification: 46E30, 46B20, 46B09
Remarks: 14 pages, submitted
Submitted from: astash@samsu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1406.4950
or