论文标题
在有向树上加权转移的次正常和完全过度的完成问题
Subnormal and completely hyperexpansive completion problem of weighted shifts on directed trees
论文作者
论文摘要
对于给定的有向树和与子树的顶点相关的权重，完成问题是确定这些权重是否可以以某种方式完成整个树上的重量加权转移，这可能还满足了一些更限制的条件。在本文中，我们考虑了一个具有一个分支点的定向树的加权偏移，考虑了亚正常和完全高调的完成问题。我们在截断的力矩序列的向后扩展上开发了新的结果，并利用这些结果，我们获得了这种完成的表征
For a given directed tree and weights associated with vertices from a subtree the completion problem is to determine if these weights may be completed in a way to obtain a bounded weighted shift on the whole tree, which possibly satisfies also some more restrictive conditions. In this paper we consider subnormal and completely hyper-expansive completion problem for weighted shifts on directed trees with one branching point. We develop new results on backward extensions of truncated moment sequences and, exploiting these results, we obtain a characterization of existence of such a completion
