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math.FA2023
Weighted shifts on directed forests and hyponormality
Piotr Pikul
In a paper from 2012 Jabłoński, Jung and Stochel introduced the weighted shifts on directed trees, a generalisation of well known weighted shift operators on . In the last…
math.FA2022
Joint backward extension property for weighted shifts on directed trees
Piotr Pikul
Weighted shifts on directed trees are a decade old generalisation of classical shift operators in the sequence space . In this paper we introduce the joint backward extensi…
math.FA2021★ 1 cited
Backward extensions of weighted shifts on directed trees
Piotr Pikul
The weighted shifts are long known and important class of operators. One of known generalisation of this class are weighted shifts on directed trees, where we replace the linear or…