关于连续熵的一个注记
A note on continuous entropy
摘要：
冯诺伊曼熵对任意半有限冯诺依曼代数的情形有一个自然的推广，正如I. E.西格尔我们将此熵的相对熵，并表明，熵增加包含冯诺依曼因素的琼斯指数的对数有界。如果因子是无穷维的，则该界是最优的。
英文摘要：
Von Neumann entropy has a natural extension to the case of an arbitrary semifinite von Neumann algebra, as was considered by I. E. Segal. We relate this entropy to the relative entropy and show that the entropy increase for an inclusion of von Neumann factors is bounded by the logarithm of the Jones index. The bound is optimal if the factors are infinite dimensional.
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。
