迹相容算子的谱平均
Spectral averaging for trace compatible operators
摘要：
本文引入了迹相容算子和无穷小谱流的概念。我们定义谱移函数为无穷小谱流的积分。证明了这样定义的谱移函数是绝对连续的，并建立了Krein公式。给出了算子的迹相容仿射空间的一些例子。
英文摘要：
In this note the notions of trace compatible operators and infinitesimal spectral flow are introduced. We define the spectral shift function as the integral of infinitesimal spectral flow. It is proved that the spectral shift function thus defined is absolutely continuous and Krein's formula is established. Some examples of trace compatible affine spaces of operators are given.
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。
