4 citations · 4 across the 2 of their papers we have counts for
4 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…
--hyperreflexivity and hyporeflexivity of power partial isometries
Kamila Piwowarczyk, Marek Ptak
Power partial isometries are not always hyperreflexive neither reflexive. In the present paper it will be shown that power partial isometries are always hyporeflexive and --hype…
Skew-symmetric operators and reflexivity
Chafiq Benhida, Kamila Kliś-Garlicka, Marek Ptak
In contrast to the subspaces of all -symmetric operators, we show that the subspaces of all skew-C symmetric operators are reflexive and even hyperreflexive with the constant $κ…