连续时间动力系统的Hölder空间谱间隙的不存在性
Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
摘要：
我们表明，有一个自然的限制空间的光滑性的连续动力系统的转移算子有一个谱间隙。这样的空间不能嵌入到霍德尔指数大于1/2的霍德尔空间中，除非它完全由上边界组成。
英文摘要：
We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be embedded in a Hölder space with Hölder exponent greater than 1/2 unless it consists entirely of coboundaries.
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。
