ON UNCONDITIONAL CONVERGENCE IN THE SPACE $ L_1$
B S Kašin · Mathematics of the USSR-Sbornik · 1974
The paper contains a proof of the followingTheorem. Suppose converges unconditionally in . Then for any 0$ SRC=http://ej.iop.org/images/0025-5734/23/4/A03/tex_sm_2183_img4.gif/> there exists a set , 1-\epsilon$ SRC=http://ej.iop.org/images/0025-5734/23/4/A03/tex_sm_2183_img6.gif/>, such that converges unconditionally in for every .This result is obtained as a corollary of a more general theorem.Bibliography: 2 items.