Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Using some new techniques, criteria for strongly exposed points of Orlicz sequence spaces generated by arbitrary Orlicz function and equipped with the p-Amemiya (1 < p < ∞) norm are obtained. Next, strongly exposed property of these spaces is deduced. The obtained results broaden the knowledge about these notions in Orlicz sequence spaces equipped with the p-Amemiya norm.

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Publication Details

Journal
Axioms
Published
2026-03-02
DOI
https://doi.org/10.3390/axioms15030183
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Xiaodong Li, Yunan Cui
Axioms
Advanced Banach Space Theory
article

Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Xiaodong Li, Yunan Cui
article en

Abstract

Using some new techniques, criteria for strongly exposed points of Orlicz sequence spaces generated by arbitrary Orlicz function and equipped with the p-Amemiya (1 < p < ∞) norm are obtained. Next, strongly exposed property of these spaces is deduced. The obtained results broaden the knowledge about these notions in Orlicz sequence spaces equipped with the p-Amemiya norm.

AxiomsVol. 15(3)
Harbin University (CN), Harbin Normal University (CN), Harbin Engineering University (CN)
National Natural Science Foundation of China, Natural Science Foundation of Heilongjiang Province
Openalex Percentile: Top 32%
Advanced Banach Space Theory
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