Unconditionally convergent series of operators and narrow operators on $L_1$
Functional Analysis
2011-03-17 v1
Abstract
We introduce a class of operators on that is stable under taking sums of pointwise unconditionally convergent series, contains all compact operators and does not contain isomorphic embeddings. It follows that any operator from into a space with an unconditional basis belongs to this class.
Keywords
Cite
@article{arxiv.math/0311324,
title = {Unconditionally convergent series of operators and narrow operators on $L_1$},
author = {Vladimir Kadets and Nigel Kalton and Dirk Werner},
journal= {arXiv preprint arXiv:math/0311324},
year = {2011}
}