8 citations · 10 across the 3 of their papers we have counts for
3 papers
Unbounded Subnormal Composition Operators in L2-Spaces
Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung +1
A criterion for subnormality of unbounded composition operators in L2-spaces, written in terms of measurable families of probability measures satisfying the so-called consistency c…
Unbounded subnormal weighted shifts on directed trees
Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung +1
A new method of verifying the subnormality of unbounded Hilbert space operators based on an approximation technique is proposed. Diverse sufficient conditions for subnormality of u…
A hyponormal weighted shift on a directed tree whose square has trivial domain
Z. J. Jablonski, I. B. Jung, J. Stochel
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 preci…