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Some results on matrix transformation and compactness for fibonomial sequence spaces

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Abstract

In this paper, we introduce the Fibonomial sequence spaces \(b_{0}^{r,s,F}\) and \(b_{c}^{r,s,F}\) and show that these are linearly isomorphic to the spaces \(c_{0}\) and c,  respectively. In addition, we present \(\alpha -\)dual, \(\beta -\)dual and \(\gamma -\)dual for those spaces and characterize certain matrix classes. In the final section, we obtain some criteria for the compactness of certain matrix operators via Hausdorff measure of noncompactness on the space \(b_{0}^{r,s,F}.\)

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Authors and Affiliations

  1. Department of Mathematics, Akdeniz University, 07058, Antalya, Turkey

    Muhammet Cihat Dağlı

  2. Department of Mathematics, Dera Natung Government College, Itanagar, Arunachal Pradesh,  791113, India

    Taja Yaying

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  1. Muhammet Cihat Dağlı
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Dağlı, M.C., Yaying, T. Some results on matrix transformation and compactness for fibonomial sequence spaces. Acta Sci. Math. (Szeged) 89, 593–609 (2023). https://doi.org/10.1007/s44146-023-00087-6

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