4 citations · 10 across the 5 of their papers we have counts for
7 papers
Multidimensional spectral order for selfadjoint operators
Artur Płaneta
The aim of this paper is to extend the notion of the spectral order for finite families of pairwise commuting bounded and unbounded selfadjoint operators in Hilbert space. It is sh…
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.
Dense definiteness and boundedness of composition operators in -spaces via inductive limits
Piotr Budzynski, Artur Planeta
The questions of dense definiteness and boundedness of composition operators in -spaces are studied by means of inductive limits of operators. Methods based on projective syst…