论文标题
力矩无限的加权移位：序列条件
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions
论文作者
论文摘要
我们考虑具有无限分配的加权转移操作员；也就是说，对于任何$ p> 0 $，当每个重量（等效地，每时每刻）都会提高到$ p $ th的功率时，轮班都是次正常的。通过重新考虑转移的重量或矩情况的序列条件，我们获得了这种转移的新特征，我们证明在轻微的条件下，这种转移在多种操作下是强大的，并且在某些意义上也是刚性的。特别是，当且仅当其Aluthge变换为时，其权重序列具有极限的加权移位是无限分裂的。我们还考虑后步扩展名，乘坐和完成。
We consider weighted shift operators having the property of moment infinite divisibility; that is, for any $p > 0$, the shift is subnormal when every weight (equivalently, every moment) is raised to the $p$-th power. By reconsidering sequence conditions for the weights or moments of the shift, we obtain a new characterization for such shifts, and we prove that such shifts are, under mild conditions, robust under a variety of operations and also rigid in certain senses. In particular, a weighted shift whose weight sequence has a limit is moment infinitely divisible if and only if its Aluthge transform is. We also consider back-step extensions, subshifts, and completions.
