m-Isometric Composition Operators on Directed Graphs with One Circuit

被引：0
|
作者：
Jablonski, Zenon Jan [1 ]
Kosmider, Jakub [1 ]
机构：
[1] Uniwersytet Jagiellonski, Inst Matematyki, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2021年 / 93卷 / 05期
关键词：
Composition operators; m-isometry; Complete hyperexpansivity; Completion problem; WEIGHTED SHIFT; SUBSPACES;
D O I：
10.1007/s00020-021-02658-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：26
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