相关于增长函数的非交换Orlicz空间的一致凸性（英文）

杨永强; 闫成

doi:10.13568/j.cnki.651094.651316.2022.11.16.0001

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相关于增长函数的非交换Orlicz空间的一致凸性（英文）

数理科学 | 更新时间：2026-01-21

- 相关于增长函数的非交换Orlicz空间的一致凸性（英文）
- 相关于增长函数的非交换Orlicz空间的一致凸性（英文）
- 新疆大学学报（自然科学版中英文） 2023年40卷第4期页码：405-413
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  supported by National Natural Science Foundation of the People's Republic of China “Research on derivatives and operators in noncommutative symmetric spaces”(12261084)
- DOI：10.13568/j.cnki.651094.651316.2022.11.16.0001
  中图分类号： O177
- 纸质出版：2023
- 稿件说明：
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[1]杨永强,闫成.相关于增长函数的非交换Orlicz空间的一致凸性（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(04):405-413.
[1]杨永强,闫成.相关于增长函数的非交换Orlicz空间的一致凸性（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(04):405-413. DOI： 10.13568/j.cnki.651094.651316.2022.11.16.0001.

DOI：10.13568/j.cnki.651094.651316.2022.11.16.0001.

摘要

相关于增长函数的非交换Orlicz空间是拟Banach空间

研究了这类拟Banach空间的一致凸性.首先

得到了这类空间上的模和Luxemburg拟范数的控制关系.其次

给出了这类空间的一致凸性

并且估计了凸性的模.最后

给出了满足假设的具体空间的例子.

Abstract

The noncommutative Orlicz spaces associated with the growth functions are quasi-Banach spaces. We study the uniform convexity of such quasi-Banach spaces. First of all

we obtain some relationships between the modulars and the Luxemburg quasi-norms on such spaces. Secondly

we give the uniform convexity of such spaces and estimate the moduli of convexity.Finally

some examples of specific spaces satisfying assumptions are given.

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references

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