arXiv:1406.4950 Abstract | arXiv Analytics

arXiv:1406.4950 [math.FA]Abstract References Reviews Resources

On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p

Published 2014-06-19Version 1

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.

Comments: 14 pages, submitted

Categories: math.FA

Subjects: 46E30, 46B20, 46B09

Keywords: independent copies span, distribution, uniqueness, orlicz sequence space, mean zero random variable

Related articles: Most relevant | Search more

arXiv:2010.01501 [math.FA] (Published 2020-10-04)

Uniqueness of unconditional basis of $H_p(\mathbb{T})\oplus\ell_{2}$ and $H_p(\mathbb{T})\oplus\mathcal{T}^{(2)}$ for $0<p<1$

Fernando Albiac, Jose L. Ansorena, Przemyslaw Wojtaszczyk

arXiv:1405.5715 [math.FA] (Published 2014-05-22)

Uniqueness of the maximal ideal of operators on the $\ell_p$-sum of $\ell_\infty^n\ (n\in\mathbb{N})$ for $1<p<\infty$

Tomasz Kania, Niels Jakob Laustsen

arXiv:math/9206201 [math.FA] (Published 1992-06-01, updated 1999-12-06)