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arXiv · 1409.8022

Subnormal weighted shifts on directed trees whose nth powers have trivial domain

Piotr Budzynski·Zenon Jan Jablonski·Il Bong Jung·Jan Stochel
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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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Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung, Jan Stochel. 2014-09-29. Subnormal weighted shifts on directed trees whose nth powers have trivial domain. https://arxiv.org/abs/1409.8022

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