148614 20250120165542.0 doi 10.1016/j.jmaa.2024.129129 sideral 141883 ART-2025-141883 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Universality arising from invertible weighted composition operators 2025 A linear operator U acting boundedly on an infinite-dimensional separable complex Hilbert space H is universal if every linear bounded operator acting on H is similar to a scalar multiple of a restriction of U to one of its invariant subspaces. It turns out that characterizing the lattice of closed invariant subspaces of a universal operator is equivalent to solve the Invariant Subspace Problem for Hilbert spaces. In this paper, we consider invertible weighted hyperbolic composition operators and we prove the universality of the translations by eigenvalues of such operators, acting on Hardy and weighted Bergman spaces. Some consequences for the Banach space case are also discussed. Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion González-Doña, F. Javier Oliva-Maza, Jesús Universidad de Zaragoza (orcid)0000-0001-8546-5883 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 545, 1 (2025), 129129 [13 pp.] J. math. anal. appl. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 0022-247X 470222 http://zaguan.unizar.es/record/148614/files/texto_completo.pdf Versión publicada 1917480 http://zaguan.unizar.es/record/148614/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:148614 articulos driver 2025-01-20-14:54:09 ARTICLE