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The Ces\(\grave{\mathbf{a }}\)ro \(\chi ^{2}\) of tensor products in Orlicz sequence spaces

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Abstract

Let X be a Banach lattice and \(\chi ^{2}_{f}\) be an double gai Orlicz sequence space associated to an Orlicz function with the \(\Delta _{2}\)- condition. In this paper we define the Ces\(\grave{\mathbf{a }}\)ro \(\chi ^{2}\) sequence space Ces\(_{p}^{q}\left( \chi ^{2}_{f}\right) \) generated by a Orlicz sequence space and exhibit some general properties of the spaces.

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Acknowledgements

The authors are extremely grateful to the anonymous learned referee(s) for their keen reading, valuable suggestion and constructive comments for the improvement of the manuscript. The authors are thankful to the editor(s) and reviewers of Afrika Matematika and also author wish to thank the Department of Science and Technology, Government of India for the financial sanction towards this work under FIST program SR/FST/MSI-107/2015.

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  1. Department of Mathematics, Sastra University, Thanjavur, 613 401, India

    N. Subramanian

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  1. N. Subramanian
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Subramanian, N. The Ces\(\grave{\mathbf{a }}\)ro \(\chi ^{2}\) of tensor products in Orlicz sequence spaces. Afr. Mat. 28, 615–628 (2017). https://doi.org/10.1007/s13370-016-0469-1

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