n次幂具有平凡整环的有向树上的次正规加权移位
Subnormal weighted shifts on directed trees whose nth powers have trivial domain
摘要：
证明了对任意正整数n，n次幂闭稠密而n + 1次幂平凡的有向树存在次正规加权移位.对L2-空间中的复合算子建立了类似的结果。
英文摘要：
It is shown that for any positive integer n there exists a subnormal weighted shift on a directed tree whose nth power is closed and densely defined while its (n + 1)th power has trivial domain. Similar result for composition operators in L2-spaces is established.
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