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Operator Theory, Functional Analysis and Applications pp 255–281Cite as

Birkhäuser

A Closer Look at Bishop Operators

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 282))

Abstract

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.

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Acknowledgements

Authors “Eva A. Gallardo-Gutiérrez and Miguel Monsalve-López” are partially supported by Plan Nacional I+D grant nos. MTM2016-77710-P (Spain) and PID2019-105979GB-I 00 (Spain) and by “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554). In addition, M. Monsalve-López also acknowledges support of the grant Ayudas de la Universidad Complutense de Madrid para contratos predoctorales de personal investigador en formación, ref. no. CT27/16.

Author information

Authors and Affiliations

  1. Dpto. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, Spain

    Eva A. Gallardo-Gutiérrez

  2. Instituto de Ciencias Matemáticas ICMAT (CSIC-UAM-UC3M-UCM), Madrid, Spain

    Miguel Monsalve-López

Authors
  1. Eva A. Gallardo-Gutiérrez
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  2. Miguel Monsalve-López
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Corresponding author

Correspondence to Eva A. Gallardo-Gutiérrez .

Editor information

Editors and Affiliations

  1. Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    M. Amélia Bastos

  2. Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    Luís Castro

  3. Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Lisboa, Portugal

    Alexei Yu. Karlovich

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Gallardo-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. https://doi.org/10.1007/978-3-030-51945-2_13

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