2026-06-28T15:30:37Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/506082024-07-12T13:45:02Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Cowen, Carl C.
author
Gallardo Gutiérrez, Eva Antonia
2023-06-20T10:34:32Z
2023-06-20T10:34:32Z
2006
0022-1236
10.1016/j.jfa.2006.04.031
https://hdl.handle.net/20.500.14352/50608
https//doi.org/10.1016/j.jfa.2006.04.031
http://www.sciencedirect.com/science/article/pii/S0022123606002588
Starting with a general formula, precise but difficult to use, for the adjoint of a composition operator on a functional Hilbert space, we compute an explicit formula on the classical Hardy Hilbert space for the adjoint of a composition operator with rational symbol. To provide a foundation for this formula, we study an extension to the definitions of composition, weighted composition, and Toeplitz operators to include symbols that are multiple-valued functions. These definitions can be made on any Banach space of analytic functions on a plane domain, but in this work, our attention is focused on the basic properties needed for the application to operators on the standard Hardy and Bergman Hilbert spaces on the unit disk
eng
A new class of operators and a description of adjoints of composition operators
journal article
URL
https://docta.ucm.es/bitstreams/6609fc42-b9fb-4be5-a123-b875639c6cae/download
File
MD5
e125e4914b6b11f16a0d271a9fa1bfef
163263
application/pdf
Gallardo15oficial.pdf