This paper deals with a new almost convergent sequence space constructed by Schröder matrix. It is shown that this new sequence space is linearly isomorphic to the space of all almost convergent sequences. Also, the β-dual of the resulting space is expressed and Schröder core of a complex-valued sequence is introduced. Moreover, some inclusion theorems are obtained for this new type of core.

中文翻译：

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Schröder矩阵定义的新的近收敛序列空间

本文研究了一个由施罗德矩阵构造的新的几乎收敛的序列空间。结果表明，这个新的序列空间与所有几乎收敛序列的空间是线性同构的。此外，还表达了所得空间的β对偶，并引入了复值序列的 Schröder 核心。此外，还得到了这种新型铁芯的一些包含定理。