2-Co-lacunary sequences in noncommutative symmetric Banach spaces
Operator Algebras
2019-09-11 v1 Functional Analysis
Abstract
We characterize noncommutative symmetric Banach spaces for which every bounded sequence admits either a convergent subsequence, or a -co-lacunary subsequence. This extends the classical characterization, due to R\"abiger.
Keywords
Cite
@article{arxiv.1909.04258,
title = {2-Co-lacunary sequences in noncommutative symmetric Banach spaces},
author = {Fedor Sukochev and Dejian Zhou},
journal= {arXiv preprint arXiv:1909.04258},
year = {2019}
}
Comments
To appear in Proceedings of the American Mathematical Society