RT Journal Article
T1 Adjoints of linear fractional composition operators on the Dirichlet space
A1 Gallardo Gutiérrez, Eva Antonia
A1 Montes Rodríguez, Alfonso
AB The adjoint of a linear fractional composition operator acting on the classical Dirichlet space is expressed as another linear fractional composition operator plus a two rank operator. The key point is that, in the Dirichlet space modulo constant functions, many linear fractional composition operators are similar to multiplication operators and, thus, normal. As a particular application, we can easily deduce the spectrum of each linear fractional composition operator acting on such spaces. Even the norm of each linear fractional composition operator is computed on the Dirichlet space modulo constant functions. It is also shown that all this work can be carried out in the Hardy space of the upper half plane.
PB Springer
SN 0025-5831
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/58433
UL https://hdl.handle.net/20.500.14352/58433
LA eng
NO Plan Nacional I+D
NO Junta de Andalucía
NO Universidad de Cádiz
DS Docta Complutense
RD 8 abr 2025