Normal Extensions Escape from the Class of Weighted Shifts on Directed Trees |
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| Authors: | Zenon Jan Jabłoński Il Bong Jung Jan Stochel |
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| Affiliation: | 1. Instytut Matematyki, Uniwersytet Jagielloński, ul. ?ojasiewicza 6, 30348, Kraków, Poland
2. Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea
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| Abstract: | A formally normal weighted shift on a directed tree is shown to be a bounded normal operator. The question of whether a normal extension of a subnormal weighted shift on a directed tree can be modeled as a weighted shift on some, possibly different, directed tree is answered. |
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