Subnormal Weighted Shifts on Directed Trees and Composition Operators in L2-Spaces with Nondensely Defined Powers
It is shown that for every positive integer n there exists a subnormal weighted shift on a directed tree (with or without root) whose nth power is densely defined while its (n+1)th power is not. As a consequence, for every positive integer n there exists a nonsymmetric subnormal composition operator...
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| Main Authors: | Piotr Budzyński, Piotr Dymek, Zenon Jan Jabłoński, Jan Stochel |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/791817 |
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