Orlicz and unconditionally convergent series in $L^{1}$
Volume 64 / 2004
Banach Center Publications 64 (2004), 39-50
MSC: 43, 46, 47.
DOI: 10.4064/bc64-0-4
Abstract
We revisit Orlicz's proof of the square summability of the norms of the terms of an unconditionally convergent series in $L^{1}$. The result is then used to motivate abstract generalizations and concrete improvements.
