Preliminaries

Budzyński, Piotr; Jabłoński, Zenon Jan; Jung, Il Bong; Stochel, Jan

doi:10.1007/978-3-319-74039-3_1

Lecture Notes in Mathematics

2018

DOI: 10.1007/978-3-319-74039-3_1

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Preliminaries

Piotr Budzyński¹,

Zenon Jan Jabłoński²,

Il Bong Jung³

et al.

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2021

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$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit

Jabłoński

Kośmider

2021

Integr. Equ. Oper. Theory

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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 hyperexpansivity 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.

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$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit

Jabłoński

Kośmider

2021

Integr. Equ. Oper. Theory

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Preliminaries

Cited by 1 publication

References 73 publications

$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit

$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit

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