3 papers
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.GN2019
Locally ordered topological spaces
Piotr Pikul
While topology given by a linear order has been extensively studied, this cannot be said about the case when the order is given only locally. The aim of this paper is to fill this…