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Strongly Extreme Points in Orlicz–Lorentz Function Space Equipped with the Orlicz Norm

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Abstract

In this paper, the expression of Orlicz norm in Orlicz–Lorentz space generated by arbitrary Orlicz functions is given. The criteria for extreme points, strongly extreme points, as well as the sufficient and necessary conditions for mid-point locally uniform rotundity in Orlicz–Lorentz function spaces equipped with Orlicz norm generated by arbitrary Orlicz functions are given.

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Acknowledgements

Yunan Cui gratefully acknowledges the support of NSF of CHINA (11871181).

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Wang, D., Cui, Y. Strongly Extreme Points in Orlicz–Lorentz Function Space Equipped with the Orlicz Norm. J Geom Anal 33, 350 (2023). https://doi.org/10.1007/s12220-023-01412-9

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