2026-06-27T22:58:42Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/584332024-07-12T13:46:17Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Gallardo Gutiérrez, Eva Antonia author Montes Rodríguez, Alfonso author 2003 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. 0025-5831 10.1007/s00208-003-0442-9 https://hdl.handle.net/20.500.14352/58433 https//doi.org/10.1007/s00208-003-0442-9 http://link.springer.com/content/pdf/10.1007%2Fs00208-003-0442-9.pdf Adjoints of linear fractional composition operators on the Dirichlet space