This is an announcement for the paper "A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions" by William B. Johnson and Gideon Schechtman.

Abstract: We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.

Archive classification: math.FA

Mathematics Subject Classification: 46B03, 46B15, 46E30

Submitted from: gideon@weizmann.ac.il

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1502.07557

or

http://arXiv.org/abs/1502.07557