4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.FA2019
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…
math.FA2017
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.…
math.FA2017★ 4 cited
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…