For some metric spaces of self-adjoint operators, it is shown that the set of operators whose spectral measures have simultaneously zero upper-Hausdorff and one lower-packing dimensions contains a dense $G_\delta$ subset. Applications include sets of limit-periodic operators.

中文翻译：

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通用零豪斯多夫和一包装光谱测量

对于一些自伴随算子的度量空间，表明其谱测度同时具有零上豪斯多夫和一个下填充维度的算子集包含一个稠密的 $G_\delta$ 子集。应用程序包括一组限制周期运算符。