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Cesàro Spaces and Norm of Operators on These Matrix Domains

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Abstract

In this paper, we investigate some properties of the domain of the Cesàro matrix of order n and compute Köthe dual of this space. Moreover, we compute the norm of well-known operators such as Hilbert, Hausdorff, backward difference and weighted mean operators on this new sequence space.

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Acknowledgements

The authors would like to express their gratitude to the referee for several corrections and improvements to the results.

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Authors and Affiliations

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

    H. Roopaei

  2. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

    D. Foroutannia

  3. Department of Mathematics, Düzce University, Düzce, Turkey

    M. İlkhan & E. E. Kara

Authors
  1. H. Roopaei
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  2. D. Foroutannia
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  3. M. İlkhan
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  4. E. E. Kara
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Correspondence to H. Roopaei.

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Dedicated to Prof. Grahame Bennett for his brilliant works in sequence spaces.

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Roopaei, H., Foroutannia, D., İlkhan, M. et al. Cesàro Spaces and Norm of Operators on These Matrix Domains. Mediterr. J. Math. 17, 121 (2020). https://doi.org/10.1007/s00009-020-01557-9

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  • DOI: https://doi.org/10.1007/s00009-020-01557-9

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