24 citations · 49 across the 17 of their papers we have counts for
19 papers
On complex symmetric weighted shifts. II
Piotr Budzyński
Assorted weighted shifts over finite rooted directed trees are studied. Their complex symmetry is characterized.
Compact vectorial Toeplitz operators on the Segal-Bargmann space
Tomasz Beberok, Piotr Budzynski, Dong-O Kang
We provide a sufficient condition for the compactness of a Toeplitz operator acting on the Segal-Bargmann space of vector-valued functions written in terms of an associated operato…
Aluthge transforms of unbounded weighted composition operators in -spaces
Chafiq Benhida, Piotr Budzynski, Jacek Trepkowski
We describe the Aluthge transform of an unbounded weighted composition operator acting in an -space. We show that its closure is also a weighted composition operator with the…
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…
Quasinormal extensions of subnormal operator-weighted composition operators in -spaces
Piotr Budzynski, Piotr Dymek, Artur Planeta
We prove the subnormality of an operator-weighted composition operator whose symbol is a transformation of a discrete measure space and weights are multiplication operators in $L^2…
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…