关于$B(H)$的超幂交换子
On the commutant of $B(H)$ in its ultrapower
摘要：
设$B(H)$是可分无限维希尔伯特空间$H$上的有界线性算子代数.研究了$B(H)$的超幂交换子.我们刻画了这类交换子是非平凡的非主超滤子。此外，我们扩展类的超滤子的交换子是平凡的。
英文摘要：
Let $B(H)$ be the algebra of bounded linear operators on a separable infinite-dimensional Hilbert space $H$. We study the commutant of $B(H)$ in its ultrapower. We characterize the class of non-principal ultrafilters for which this commutant is non-trivial. Additionally, we extend the class of ultrafilters for which the commutant is trivial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
