An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm

CUI Yun-an; AN Li-li

doi:10.15938/j.jhust.2021.02.020

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An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm

更新时间：2026-08-31

- An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm
- Vol. 26, Issue 2, Pages: 149-153(2021)
- 作者机构：
  
  哈尔滨理工大学理学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2021.02.020
  CLC： O177
- Published：2021
- 稿件说明：
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CUI Yun-an, AN Li-li. An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm[J]. 2021, 26(2): 149-153.
DOI：

CUI Yun-an, AN Li-li. An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm[J]. 2021, 26(2): 149-153. DOI： 10.15938/j.jhust.2021.02.020.

摘要

摘要: 在 Orlicz 空间中，给出了新范数—Φ-Amemiya 范数的计算公式，讨论了赋 Φ-Amemiya范数的 Orlicz 空间的范数可达的条件，并研究了端点的判别准则，作为推论得到了赋 Φ-Amemiya范数的 Orlicz 空间严格凸的充要条件。

Abstract

In Orlicz space，the formula of computation of a new norm that we call Φ-Amemiya norm is given． In this paper，we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm， and the criterion of an extreme point is studied． Based on this，the conditions under which the norm of the Orlicz space with the Φ-Amemiya norm can be reached are discussed． The necessary and sufficient conditions for the strictly convex Orlicz space of the Φ-Amemiya norm are reached．

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Related Institution

(School of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，China) 

College of Applied Sciences，Harbin University of Science and Technology

School of Science, Harbin University of Science and Technology

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