RT Journal Article
T1 Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts
A1 Gallardo Gutiérrez, Eva Antonia
A1 Partington, Jonathan R.
A1 Segura, Dolores
AB It is shown that the invariant subspaces for the Bergman and Dirichlet shifts on the right half-plane correspond to the common invariant subspaces of the right shift operators on certain weighted Lebesgue spaces on the half-line. As a particular instance, the corresponding result for invariant subspaces of multipliers induced by weak-star generators of H(infinity)(D) on weighted Bergman spaces of the unit disc is deduced. Finally, cyclic vectors for the Bergman and Dirichlet shifts are also studied.
PB The Theta Foundation
SN 1841-7744
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50587
UL https://hdl.handle.net/20.500.14352/50587
LA eng
NO Plan Nacional I+D
NO Gobierno de Aragon research group Analisis Matematico y Aplicaciones
NO Vicerrectorado de Investigacion, Desarrollo e Innovacion
DS Docta Complutense
RD 14 may 2025