A Subnormal Completion Problem for Weighted Shifts on Directed Trees

George R. Exner; Il Bong Jung; Jan Stochel; Hye Yeong Yun

doi:10.1007/s00020-018-2496-9

A Subnormal Completion Problem for Weighted Shifts on Directed Trees

Integral Equations and Operator Theory ◽

10.1007/s00020-018-2496-9 ◽

2018 ◽

Vol 90 (6) ◽

Cited By ~ 1

Author(s):

George R. Exner ◽

Il Bong Jung ◽

Jan Stochel ◽

Hye Yeong Yun

Keyword(s):

Weighted Shifts ◽

Completion Problem

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Recursively generated weighted shifts and the subnormal completion problem, II

Integral Equations and Operator Theory ◽

10.1007/bf01200183 ◽

1994 ◽

Vol 18 (4) ◽

pp. 369-426 ◽

Cited By ~ 42

Author(s):

Ra�l E. Curto ◽

Lawrence A. Fialkow

Keyword(s):

Weighted Shifts ◽

Completion Problem

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Recursively generated weighted shifts and the subnormal completion problem

Integral Equations and Operator Theory ◽

10.1007/bf01200218 ◽

1993 ◽

Vol 17 (2) ◽

pp. 202-246 ◽

Cited By ~ 59

Author(s):

Ra�l E. Curto ◽

Lawrence A. Fialkow

Keyword(s):

Weighted Shifts ◽

Completion Problem

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

Integral Equations and Operator Theory ◽

10.1007/s00020-021-02658-0 ◽

2021 ◽

Vol 93 (5) ◽

Author(s):

Zenon Jan Jabłoński ◽

Jakub Kośmider

Keyword(s):

Composition Operators ◽

Directed Graphs ◽

Weighted Shifts ◽

Completion Problem ◽

Affirmative Solution

AbstractThe 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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