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Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm

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Abstract

Uniform Kadec-Klee property, which takes an indispensable part in the researches of some mathematics branches, has attracted increasing extensive exploration and discussion. In this paper, necessary and sufficient conditions for uniform Kadec-Klee property in Orlicz-Lorentz sequence space equipped with Orlicz norm are given.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (11871181).

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  1. Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

    Di Wang & Yunan Cui

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  1. Di Wang
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  2. Yunan Cui
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Correspondence to Yunan Cui.

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Wang, D., Cui, Y. Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm. Positivity 26, 31 (2022). https://doi.org/10.1007/s11117-022-00875-4

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