8 citations · 12 across the 3 of their papers we have counts for
4 papers · 1 filter
Weighted shifts on directed trees. Their multiplier algebras, reflexivity and decompositions
Piotr Budzynski, Piotr Dymek, Artur Planeta +1
We study bounded weighted shifts on directed trees. We show that the set of multiplication operators associated with an injective weighted shift on a rooted directed tree coincides…
Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples
Piotr Budzynski, Zenon Jan Jablonski, Il Bong Jung +1
A recent example of a non-hyponormal injective composition operator in an -space generating Stieltjes moment sequences, invented by three of the present authors, was built ove…
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…