Reducing Subspaces on the Annulus

Simple item page
dc.creatorDouglas, Ronald G.
dc.creatorKim, Yun-Su
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:30Z
dc.date.available2026-07-07T12:40:30Z
dc.descriptionWe study reducing subspaces for an analytic multiplication operator M_{z^{n}} on the Bergman space L_{a}^{2}(A_{r}) of the annulus A_{r}, and we prove that M_{z^{n}} has exactly 2^n reducing subspaces. Furthermore, in contrast to what happens for the disk, the same is true for the Hardy space on the annulus. Finally, we extend the results to certain bilateral weighted shifts, and interpret the results in the context of complex geometry.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0902.1794
dc.identifierhttp://arxiv.org/abs/0902.1794
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219465
dc.subjectFunctional Analysis
dc.subject47A15, 47B37, 47B38, 51D25.
dc.titleReducing Subspaces on the Annulus
dc.typetext

Files

Collections

arXiv