|
Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 2(23), Pages 75–82
(Mi pfmt378)
|
|
|
|
MATHEMATICS
On reducibility of the weighted composition operators
Teube Cyrille Mbainaissem, Serine Alou Lo, Moussa Ould Ahmed Salem University Cheikh Anta Diop de Dakar, Dakar, Senegal
Abstract:
The question under consideration is reduction of a weighted composition operator to an operator with invariant coefficient by Liapunov transformation. Topological obstruction to be reducible is described in the case of periodic mapping generating operator. Explicit form of the corresponding Liapunov transformation is given.
Keywords:
weighted composition operator, Liapunov transformation, Cauchy index, reducibility, homological equation.
Received: 14.02.2015
Citation:
Teube Cyrille Mbainaissem, Serine Alou Lo, Moussa Ould Ahmed Salem, “On reducibility of the weighted composition operators”, PFMT, 2015, no. 2(23), 75–82
Linking options:
https://www.mathnet.ru/eng/pfmt378 https://www.mathnet.ru/eng/pfmt/y2015/i2/p75
|
|