**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.