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.

UDC: 517.984

Received: 14.02.2015