Work

m-Isometric Composition Operators on Discrete Spaces

Year: 2024

Type: article

Abstract: In this paper we study composition operators on discrete spaces $$ L^{2}(\mu ) $$ L 2 ( μ ) . 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.

Source: Complex Analysis and Operator Theory

DOI: 10.1007/s11785-024-01603-4

Author: Michał Buchała

Institution: Jagiellonian University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Uniwersytet Jagielloński w Krakowie