Catalan序列空间q-类似的研究

Pub Date : 2023-01-01 DOI:10.2298/fil2303839y

Taja Yaying, Merve Kara, B. Hazarika, E. Kara

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引用次数: 5

摘要

本文构造了Catalan矩阵的q-模拟C(q)，并研究了分别在空间c0和C中定义为q-Catalan矩阵C(q)定义域的序列空间c0(C(q))和C(C(q))。我们展示了一些拓扑性质，得到了Schauder基，并确定了空间c0(C(q))和C(C(q))的?-、?-和?-对偶。最后，我们刻画了从空间c0(C(q))和C(C(q))到空间?= {? ?， c, c， ?1}，并给出矩阵算子紧化的充分必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A study on q-analogue of Catalan sequence spaces

In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0(C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0(C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0(C(q)) and c(C(q)) to the space ? = {??, c0, c, ?1} and give the necessary and sufficient conditions for a matrix operator to be compact.

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