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<p>We introduce and study the space of weak Orlicz sequences and the concept of Orlicz-limited sets, which generalizes the notion of <i>p</i>-limited sets due to A. Karn and D. Sinha (Glasgow Mathematical Journal, 56(2):427–437, 2014). Compactness in this context will also be discussed and some characterizations of studied concepts will be presented.</p>

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Orlicz Sequences and Limited Sets

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Jamilson R. Campos,
  • Luiz F. P. Sousa

摘要

We introduce and study the space of weak Orlicz sequences and the concept of Orlicz-limited sets, which generalizes the notion of p-limited sets due to A. Karn and D. Sinha (Glasgow Mathematical Journal, 56(2):427–437, 2014). Compactness in this context will also be discussed and some characterizations of studied concepts will be presented.