Sylvester可测算子方程的解

许毛丹; 闫成

doi:10.13568/j.cnki.651094.651316.2021.11.28.0003

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Sylvester可测算子方程的解

数理科学 | 更新时间：2026-01-21

- Sylvester可测算子方程的解
- Sylvester可测算子方程的解
- 新疆大学学报（自然科学版中英文） 2022年39卷第4期页码：432-437
- 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：
  
  国家自然科学基金（11801486）
- DOI：10.13568/j.cnki.651094.651316.2021.11.28.0003
  中图分类号： O175
- 纸质出版：2022
- 稿件说明：
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[1]许毛丹,闫成.Sylvester可测算子方程的解[J].新疆大学学报(自然科学版)(中英文),2022,39(04):432-437+445.
[1]许毛丹,闫成.Sylvester可测算子方程的解[J].新疆大学学报(自然科学版)(中英文),2022,39(04):432-437+445. DOI： 10.13568/j.cnki.651094.651316.2021.11.28.0003.

DOI：10.13568/j.cnki.651094.651316.2021.11.28.0003.

摘要

利用非交换空间中的Frechet导数的性质

研究在半有限von Neumann代数上关于可测算子的Sylvester方程的解.进一步

当可测算子方程是由算子单调函数的反函数进行演算给出时

我们给出其方程积分形式的解.

Abstract

In this paper

we study the solution of the Sylvester equation on measurable operators associated with a semifinite von Neumann algebra by using Frechet derivative properties in noncommutative spaces. Moreover

when the Sylvester equation on measurable operators is given by the inverse of the operator monotone function

we also give the solution of the equation in integral form.

关键词

Keywords

references

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