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M--isometric Composition Operators on Directed Graphs with One Circuit by Jabłoński, Zenon Jan; Kośmider, Jakub is a scholarly article available to read on EtoBox.

What is M--isometric Composition Operators on Directed Graphs with One Circuit about?

The aim of this paper is to investigate $m$--isometric composition operators on directed graphs with one circuit. We establish a characterization of $m$--isometries and prove that complete hyperexpansiveness coincides with $2$--isometricity within this class. We discuss the $m$--isometric completion problem for unilateral weighted shifts and for composition operators on directed graphs with one circuit. The paper is concluded with an affirmative solution of the Cauchy dual subnormality problem in the subclass with circuit containing one element.

Author

Jabłoński, Zenon Jan; Kośmider, Jakub

Published

2019

Language

EN