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arXiv:1409.8022 [math.FA]AbstractReferencesReviewsResources

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

Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung, Jan Stochel

Published 2014-09-29Version 1

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.

Comments: 13 pages, 1 figure
Categories: math.FA
Subjects: 47B20, 47B37, 47B33
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