Abstract
In the present paper, we characterize certain compact and matrix operators on the Fibonacci spaces \(\left| F_{\theta }\right| _{q}\), studied by Gökçe and Sarıgöl (Kragujevac J. Math. 44(2), 273–286 (2020)), together with their norms and identities or estimates for the Hausdorff measures of noncompactness.
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Gökçe, F. Compactness of matrix operators on absolute fibonacci series spaces. Afr. Mat. 34, 68 (2023). https://doi.org/10.1007/s13370-023-01108-x
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DOI: https://doi.org/10.1007/s13370-023-01108-x
Keywords
- Absolute summability
- Fibonacci numbers
- Matrix transformations
- Sequence spaces
- Bounded operators
- Operator norm
- Hausdorff meausures of noncompactness