Gallardo Gutiérrez, Eva AntoniaMonsalve López, MiguelAmélia Bastos, MariaCastro, LuísKarlovich, Alexei Yuri2025-12-162025-12-162021Gallardo-Gutiérrez, E.A., Monsalve-López, M. (2021). A Closer Look at Bishop Operators. In: Bastos, M.A., Castro, L., Karlovich, A.Y. (eds) Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282. Birkhäuser, Cham.10.1007/978-3-030-51945-2_13https://hdl.handle.net/20.500.14352/129165The purpose of this work is to provide a survey, essentially self-contained, of those results mainly concerned with the study of Bishop operators, their (local) spectral properties and spectral invariant subspaces, whenever they do exist. Finally, we will discuss Bishop-type operators, addressing some open questions in this context.engbook parthttps://doi.org/10.1007/978-3-030-51945-2_13https://doi.org/10.1007/978-3-030-51945-2open accessBishop operatorsInvariant subspace problemSpectral subspacesAnálisis funcional y teoría de operadoresTeoría de números1202.03 Álgebra y Espacios de Banach1205.03 Problemas Diofánticos1202.14 Espacio de Hilbert1202.13 Análisis Armónico