Impacto
Downloads
Downloads per month over past year
Gallardo Gutiérrez, Eva A. and Partington, Jonathan R. and Segura, Dolores (2009) Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts. Journal of operator theory, 62 (1). pp. 199-214. ISSN 1841-7744
![]() Preview |
PDF
158kB |
Official URL: http://www.mathjournals.org/jot/2009-062-001/2009-062-001-010.pdf
Abstract
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.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | nvariant subspaces; shift operator; Bergman spaces; Dirichlet spaces; cyclic vectors |
Subjects: | Sciences > Mathematics > Mathematical analysis |
ID Code: | 21015 |
Deposited On: | 24 Apr 2013 09:15 |
Last Modified: | 10 Aug 2018 11:42 |
Origin of downloads
Repository Staff Only: item control page