2026-06-28T15:30:35Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1286762025-12-11T00:54:31Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Monsalve López, Miguel author Seco, Daniel author 2025 We build on a characterization of inner functions $f$ due to Le, in terms of the spectral properties of the operator $V = M_f^*M_f$ and study to what extent the cyclicity on weighted Hardy spaces $H^2$ of the function $z \mapsto a − z$ can be similarly inferred from the spectral properties of the corresponding operator $V$. We describe several properties of the spectra that hold in a large class of spaces and then, we focus on the particular case of Bergman-type spaces, for which we describe completely the spectrum of such operators and find all eigenfunctions. Monsalve-López, M., Seco, D. Towards spectral descriptions of cyclic functions. Ann. Funct. Anal. 16, 52 (2025) 10.1007/s43034-025-00446-0 https://hdl.handle.net/20.500.14352/128676 https://doi.org/10.1007/s43034-025-00446-0 Towards spectral descriptions of cyclic functions