2-co-lacunary sequences in noncommutative symmetric Banach spaces

Sukochev, Fedor; Zhou, Dejian

doi:10.1090/proc/14862

2-co-lacunary sequences in noncommutative symmetric Banach spaces
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Proc. Amer. Math. Soc. 148 (2020), 2045-2058 Request permission

Abstract:

We characterize noncommutative symmetric Banach spaces for which every bounded sequence admits either a convergent subsequence, or a $2$-co-lacunary subsequence. This extends the classical characterization, due to Räbiger.

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