许毛丹;闫成;

• 1:新疆大学数学与系统科学学院

摘要(Abstract)：

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.

关键词(KeyWords)： von Neumann代数;Frechet导数;Sylvester方程;τ可测算子

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（11801486）

作者(Authors): 许毛丹;闫成;

DOI: 10.13568/j.cnki.651094.651316.2021.11.28.0003

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