论文标题

通用的零Hausdorff和一包光谱措施

Generic zero-Hausdorff and one-packing spectral measures

论文作者

Carvalho, Silas L., de Oliveira, César R.

论文摘要

对于某些自我接合运算符的度量空间,据表明,光谱量度同时零的上豪斯多夫和一个下包装尺寸的操作员集中包含密集的$g_Δ$子集。应用程序包括一组极限 - 周期性操作员。

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 $G_δ$ subset. Applications include sets of limit-periodic operators.

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