In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ideal has been shown. We investigate the sufficient conditions on this sequence space to be premodular Banach special space of sequences, and the constructed pre-quasi operator ideal becomes small, simple, closed, Banach space and has eigenvalues identical with its s-numbers.

中文翻译：

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Orlicz广义差分序列空间和链接的准拟算子理想

在本文中，研究了关于s型Orlicz广义差分序列空间以生成算子理想的必要条件。因此，已经示出了不能产生算子理想的s型Orlicz广义差分序列空间。我们研究了在该序列空间上成为预模Banach特殊序列空间的充分条件，并且所构造的准拟算子理想变得小，简单，封闭，Banach空间，并且其特征值与其s数相同。