A closer look at Bishop operators

The 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 so...

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Bibliographic Details
Authors: Gallardo Gutiérrez, Eva Antonia; Monsalve López, Miguel
Format: Book chapter
Publication date:2021
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/129165
Online Access:https://hdl.handle.net/20.500.14352/129165
Access Level:Open access
Keyword:Bishop operators
Invariant subspace problem
Spectral subspaces
Análisis funcional y teoría de operadores
Teoría de números
1202.03 Álgebra y Espacios de Banach
1205.03 Problemas Diofánticos
1202.14 Espacio de Hilbert
1202.13 Análisis Armónico
Description
Summary:The 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.