一般零Hausdorff和单填充谱测度
Generic zero-Hausdorff and one-packing spectral measures
摘要:
对于自伴算子的度量空间,证明了其谱测度同时具有零上Hausdorff维数和一个下packing维数的算子集合包含一个稠密的$G_δ$子集.应用包括极限周期算子的集合。
英文摘要:
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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