Lacunary Series, Nonlinear Functionals and Banach Space Structure

Istvan Berkes, Eduard Stefanescu, Robert Tichy

In a previous paper \cite{BT} we studied the asymptotic behavior of $\Vert {\sum }_{k=1}^N{a}_k{X}_{n_k}{\Vert }_p$ for lacunary sequences $(X_{n_k})$ of random variables in $L_p$ and used the r…