Mathematics – Functional Analysis
Scientific paper
2011-04-27
Mathematics
Functional Analysis
8 pages
Scientific paper
It is proved that, up to isomorphism, there are only two directed trees that
admit a hyponormal weighted shift with nonzero weights whose square has trivial
domain. These are precisely those enumerable directed trees, one with root, the
other without, whose every vertex has enumerable set of successors.
Jablonski Zenon Jan
Jung Il Bong
Stochel Jan
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