In this paper, we establish new results in the theory started by T. Oikhberg in Oikhberg (2018) where the author joins greedy approximation theory with the use of sequences with gaps. Concretely, we study and provide some answers to three open questions related to quasi-greedy bases for sequences with gaps posed in Oikhberg (2018)[Section 6].

中文翻译：

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带缺口序列的拟贪婪基

在本文中，我们在T.Oikhberg在Oikhberg（2018）提出的理论中建立了新的结果，作者将贪婪逼近理论与带间隙序列的使用结合起来。具体而言，我们研究了与Oikhberg（2018）[6]中提出的带有缺口的序列的准贪婪基数相关的三个未解决问题，并提供了一些答案。