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Sequence Spaces Associated with Fractional Copson Matrix and Compact Operators

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Abstract

In this research, we introduce the fractional Copson matrix and define the associated sequence spaces. We investigate the inclusion relations, dual spaces and matrix transformations of these new sequence spaces. Moreover, investigating the compactness of matrix operators and obtaining the norm of this matrix on the difference sequence spaces are another motive of this research.

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Acknowledgements

The authors have benefited much from the constructive reports and suggestions of the reviewer. So, they are indebted to the reviewer for his/her valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

    M. Mursaleen

  2. Al-Qaryah, Street No. 1 (West) Doharra, Aligarh, 202002, India

    M. Mursaleen

  3. Young Researchers and Elite Club, Islamic Azad University Marvdasht, Marvdasht Branch, Iran

    H. Roopaei

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  1. M. Mursaleen
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  2. H. Roopaei
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Both authors contributed equally.

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Correspondence to M. Mursaleen.

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Mursaleen, M., Roopaei, H. Sequence Spaces Associated with Fractional Copson Matrix and Compact Operators. Results Math 76, 134 (2021). https://doi.org/10.1007/s00025-021-01410-9

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  • DOI: https://doi.org/10.1007/s00025-021-01410-9

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