RT Journal Article
T1 A new class of operators and a description of adjoints of composition operators
A1 Cowen, Carl C.
A1 Gallardo Gutiérrez, Eva A.
AB 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
PB Elsevier
SN 0022-1236
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50608
UL https://hdl.handle.net/20.500.14352/50608
LA eng
NO Plan Nacional I+D
NO Gobierno de Aragón research group Análisis Matemático y Aplicaciones
DS Docta Complutense
RD 29 abr 2024