Generalized multipliers for left-invertible analytic operators and their applications to commutant and reflexivity
Piotr Dymek , Artur Płaneta , Marek Ptak
AbstractWe 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. In the special case, we describe the commutant of balanced weighted shift only in terms of its weights. In addition, we prove two independent criteria for reflexivity of weighted shifts on directed trees.
|Journal series||Journal of Functional Analysis, ISSN 0022-1236, e-ISSN 1096-0783, (N/A 140 pkt)|
|Publication size in sheets||1.55|
|Keywords in English||Weighted shift on directed tree, Generalized multiplier, Commutant, Reflexivity|
|Publication indicators||= 2; : 2018 = 1.59; : 2018 = 1.637 (2) - 2018=1.715 (5)|
|Finansowanie||All authors were supported by the Ministry of Science and Higher Education of the Republic of Poland.|
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