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math.FA2014★ 1 cited
On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p
S. Astashkin, F. Sukochev, D. Zanin
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…
math.FA2010
Kruglov operator and operators defined by random permutations
S. V. Astashkin, D. V. Zanin, E. M. Semenov +1
The Kruglov property and the Kruglov operator play an important role in the study of geometric properties of r.i. function spaces. We prove that the boundedness of the Kruglov oper…
math.FA2010
Orbits in symmetric spaces, II
N. J. Kalton, F. A. Sukochev, D. V. Zanin
Suppose is fully symmetric Banach function space on or or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on …