m-Isometric Composition Operators on Discrete Spaces

被引：0
|
作者：
Buchala, Michal [1 ,2 ]
机构：
[1] Jagiellonian Univ, Doctoral Sch Exact & Nat Sci, Lojasiewicza 11, PL-30348 Krakow, Poland
[2] Jagiellonian Univ, Inst Math, Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 07期
关键词：
Weighted shifts on graphs; m-isometries; Composition operators; Completely hyperexpansive operators; Cauchy dual subnormality problem; SUBNORMALITY; SUBSPACES;
D O I：
10.1007/s11785-024-01603-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study composition operators on discrete spaces L-2(mu). We establish the classification of underlying graphs of such operators. We obtain the characterization of m-isometric composition operators such that the underlying graph has one cycle. The paper contains also the solution of the Cauchy dual subnormality problem in the class of such composition operators.
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页数：34
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