Gallardo Gutiérrez, Eva AntoniaPartington, Jonathan R.2023-06-202023-06-202009Gallardo 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/s11854-009-0003-6.0021-767010.1007/s11854-009-0003-6https://hdl.handle.net/20.500.14352/50594We 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.engjournal articlehttps//doi.org/10.1007/s11854-009-0003-6http://link.springer.com/content/pdf/10.1007%2Fs11854-009-0003-6.pdfrestricted access517Composition operatorsAnálisis matemático1202 Análisis y Análisis Funcional