4 citations · 11 across the 5 of their papers we have counts for
6 papers
Generalized multipliers for left-invertible analytic operators and its applications to commutant and reflexivity
Piotr Dymek, Artur Płaneta, Marek Ptak
We introduce generalized multipliers for left-invertible analytic operators. We show that they form a Banach algebra and characterize the commutant of such operators in its terms.…
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…
Unbounded composition operators via inductive limits: cosubnormal operators with matrix symbols. II
Piotr Budzynski, Piotr Dymek, Artur Planeta
The paper deals with unbounded composition operators with infinite matrix symbols acting in -spaces with respect to the gaussian measure on . We introduce w…
Unbounded composition operators via inductive limits: cosubnormals with matrical symbols
Piotr Budzynski, Piotr Dymek, Artur Planeta
We prove, by use of inductive techniques, that assorted unbounded composition operators in -spaces with matrical symbols are cosubnormal.
Subnormal weighted shifts on directed trees and composition operators in spaces with non-densely defined powers
Piotr Budzynski, Piotr Dymek, Zenon Jan Jablonski +1
It is shown that for every positive integer there exists a subnormal weighted shift on a directed tree (with or without root) whose th power is densely defined while its $(n…