129777 20260217205503.0 doi 10.1016/j.jfa.2023.110298 sideral 136096 ART-2024-136096 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions on D 2024 Access copy available to the general public Unrestricted Here, we study a family of bounded operators H, acting on Banach spaces of holomorphic functions X→O(D), which are subordinated in terms of a C0--semigroup of weighted composition operators (vtCϕt ), i.e.,H= ∞ 0 vtCϕt dν(t) in the strong sense for some Borel measure ν. This family of operators extends the so-called generalized Hausdorff operators. Here, we obtain the spectrum, point spectrum and essential spectrum of H under mild assumptions on (vtCϕt ),ν and X. In particular, we obtain these spectral sets for a wide family of generalized Hausdorff operators acting on Hardy spaces, weighted Bergman spaces, weighted Dirichlet spaces and little Korenblum classes. The description for the spectra of the infinitesimal generator of (vtCϕt) is the key for our findings. info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 1.6 2024 MATHEMATICS 53 / 492 = 0.108 2024 Q1 T1 1.958 2024 Analysis 2024 Q1 2.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Oliva-Maza, Jesús Universidad de Zaragoza (orcid)0000-0001-8546-5883 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 286, 6 (2024), 110298 [35 pp.] J. funct. anal. JOURNAL OF FUNCTIONAL ANALYSIS 0022-1236 603346 http://zaguan.unizar.es/record/129777/files/texto_completo.pdf Postprint 1498894 http://zaguan.unizar.es/record/129777/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:129777 articulos driver 2026-02-17-20:22:34 ARTICLE