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Uniformly normal structure and uniform non-squareness of Orlicz–Lorentz function spaces endowed with the Orlicz norm

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Abstract

In this paper, the necessary and sufficient conditions were given for Orlicz–Lorentz function space endowed with the Orlicz norm having uniformly normal structure and uniform non-squareness.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions that helped improve the quality of this manuscript. This work is supported by the National Science Research Project of Anhui Educational Department (KJ2019A0487) and National Natural Science Foundation of China (11771273).

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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241000, China

    Bowen Chen & Wanzhong Gong

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  1. Bowen Chen
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  2. Wanzhong Gong
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Correspondence to Wanzhong Gong.

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Communicated by Vesko Valov.

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Chen, B., Gong, W. Uniformly normal structure and uniform non-squareness of Orlicz–Lorentz function spaces endowed with the Orlicz norm. Ann. Funct. Anal. 12, 36 (2021). https://doi.org/10.1007/s43034-021-00121-0

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