RT Journal Article
T1 Invariant subspaces for translation, dilation and multiplication semigroups
A1 Gallardo Gutiérrez, Eva Antonia
A1 Partington, Jonathan R.
AB We study invariant subspaces in the context of the work of Katavolos and Power [9] and [10] when one of the semigroups considered is replaced by a discrete one. As a consequence, a rather striking connection is given with the study of the lattice of invariant subspaces of composition operators induced by automorphisms of the unit disc acting on the classical Hardy space. As a particular instance, our study concerns the lattice of invariant subspaces of those composition operators induced by hyperbolic automorphisms, and therefore with the Invariant Subspace Problem.
PB Springer
SN 0021-7670
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50594
UL https://hdl.handle.net/20.500.14352/50594
LA eng
NO Gallardo Gutiérrez, E. A. & Partington, J. R. «Invariant Subspaces for Translation, Dilation and Multiplication Semigroups». Journal d’Analyse Mathématique, vol. 107, n.o 1, enero de 2009, pp. 65-78. DOI.org (Crossref), https://doi.org/10.1007/s11854-009-0003-6.
NO Plan Nacional I+D
NO Gobierno de Aragon research group Analisis Matematico y Aplicaciones
DS Docta Complutense
RD 16 dic 2025