Subnormal weighted shifts on directed trees whose nth powers have trivial domain
classification
🧮 math.FA
keywords
directeddomainpowersubnormaltrivialweightedwhoseclosed
read the original abstract
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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