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Exposed points of Orlicz function spaces equipped with p-Amemiya norms

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Abstract

Exposed points, which take an indispensable part in the researches of some mathematics branches, have attracted increasing extensive exploration and discussion. In this paper, the sufficient and necessary conditions for exposed points of Orlicz function spaces equipped with the p-Amemiya norm are given. The obtained results complete and widen the characterization of exposed points of Orlicz function spaces.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China (11871181) and the Natural Science Foundation of Heilongjiang Province (LH2020A012).

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Authors and Affiliations

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

    Xiaoyan Li

  2. Department of Mathematics, Harbin Normal University, Harbin, 150025, China

    Yunan Cui

Authors
  1. Xiaoyan Li
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  2. Yunan Cui
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Correspondence to Yunan Cui.

Additional information

Communicated by Jaydeb Sarkar.

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Li, X., Cui, Y. Exposed points of Orlicz function spaces equipped with p-Amemiya norms. Indian J Pure Appl Math 54, 1177–1186 (2023). https://doi.org/10.1007/s13226-022-00332-8

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