Full paper in PDF:
$%L. Drewnowski, Lacunary convergence of series in L₀ revisited, Rev. Mat. Complut. 13 (2000), no. 1, 111–115. %$

A simpler proof is given for the recent result of I. Labuda and the author that a series in the space is subseries convergent if each of its lacunary subseries converges.

1991 Mathematics Subject Classification: 46E30, 40A30, 28A20.