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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Bibliographic Details
Main Authors: Piotr Budzyński, Piotr Dymek, Zenon Jan Jabłoński, Jan Stochel
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/791817
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