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arXiv · 1909.04258

2-Co-lacunary sequences in noncommutative symmetric Banach spaces

Fedor Sukochev·Dejian Zhou
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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 R\"abiger.

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Fedor Sukochev, Dejian Zhou. 2019-09-10. 2-Co-lacunary sequences in noncommutative symmetric Banach spaces. https://arxiv.org/abs/1909.04258

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