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On Cesàro summability of vector valued multiplier spaces and operator valued series

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Abstract

In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and Cesàro convergence. Also, we obtain a new version of the Orlicz–Pettis Theorem by means of Cesàro summability.

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Acknowledgements

The authors wish to thank the referee for his/her valuable suggestions, which improved the paper considerably.

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Authors and Affiliations

  1. Faculty of Education, Inonu University, Central Campus, Battalgazi, 44280, Malatya, Turkey

    Bilal Altay

  2. Department of Mathematics, Siirt University, Kezer Campus, 56100, Siirt, Turkey

    Ramazan Kama

Authors
  1. Bilal Altay
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  2. Ramazan Kama
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Correspondence to Ramazan Kama.

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Altay, B., Kama, R. On Cesàro summability of vector valued multiplier spaces and operator valued series. Positivity 22, 575–586 (2018). https://doi.org/10.1007/s11117-017-0528-3

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  • DOI: https://doi.org/10.1007/s11117-017-0528-3

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