12 citations · 14 across the 7 of their papers we have counts for
8 papers · 1 filter
Solutions to the 'moment property implies subnormality' and injectivity problems for composition operators on one-circuit graphs
Piotr Budzyński, Zenon Jan Jabłoński, Il Bong Jung +1
We consider composition operators in , where is a discrete measure. Our main result shows that, for every integer , there exists a non-hyponormal composition ope…
Spectrally -centered operators. I
Piotr Budzyński
We introduce the concept of spectrally -centered operators and study it within the framework of unbounded weighted composition operators in -spaces. Based on this, we estab…
Centered weighted composition operators on -spaces revisited
Piotr Budzyński
Centered weighted composition operators on -spaces are characterized. The characterization is obtained without the assumption that the operator is a product of a multiplicatio…
Weakly centered weighted composition operators in -spaces
Piotr Budzyński
Weakly centered and spectrally weakly cenetered weighted composition operators in -spaces are characterized. Criteria for existence of invariant subspaces are given. Additiona…
On complex symmetric weighted shifts
Chafiq Benhida, Piotr Budzyński
Unbounded complex symmetric weighted shifts are studied. Complex symmetric unilateral weighted shifts whose vectors contain the image of the canonical orthonormal basis…
Reciprocals of weighted composition operators in -spaces
Piotr Budzyński
Various formulas for reciprocals of densely defined weighted composition operators in -spaces as well as for their adjoints are provided. The relation between the reciprocal o…
Analytic structure of weighted shifts on directed trees
Piotr Budzynski, Piotr Dymek, Marek Ptak
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the…
Unbounded Weighted Composition Operators in L2-Spaces
Piotr Budzyński, Zenon Jan Jabłoński, Il Bong Jung +1
Bounded and unbounded weighted composition operators on spaces over -finite measure spaces are investigated. A variety of questions related to seminormality of such operat…