Georgian Math. J.

Andrew Rosalsky, Andrei I. Volodin

On Convergence of Series of Random Elements
via Maximal Moment Relations with Applications
to Martingale Convergence and to Convergence of Series
with p-Orthogonal Summands. Correction

abstract:
A result by M\'oricz, Su, and Taylor from {\em Acta Math. Hungar.} {\bf 65}(1994), 1--16, was misstated in the authors' paper in {\em Georgian Math. J.} {\bf 8}(2001), No. 2, 377--388, where due to this misstatement the invalid formulation and proof of a corollary is given. In this correction note, the needed result is correctly stated and a corrected version of the invalid corollary is proved.

On Convergence of Series of Random Elements via Maximal Moment Relations with Applications to Martingale Convergence and to Convergence of Series with p-Orthogonal Summands. Correction

On Convergence of Series of Random Elements
via Maximal Moment Relations with Applications
to Martingale Convergence and to Convergence of Series
with p-Orthogonal Summands. Correction