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Cohyponormality and Complex Symmetry of Linear Fractional Composition Operators on a Half-Plane

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Abstract

We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane \({\mathbb {C}}_+\) on the Hardy space \(H^2({\mathbb {C}}_+).\) We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.

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Acknowledgements

We thank the referee for his/her insightful comments and suggestions.

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Authors and Affiliations

  1. Faculdade de Matemática, Universidade Federal de Uberlândia, Uberlândia, 38.400-902, Brazil

    V. V. Fávaro

  2. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Vien Toan ung dung va Tin hoc, Dai Hoc Bach Khoa Hanoi, 1 Dai Co Viet, Hanoi, Vietnam

    P. V. Hai

  3. Programa Associado de Pós Graduação em Matemática Universidade Federal da Paraíba/Universidade Federal de Campina Grande, João Pessoa, Brazil

    O. R. Severiano

Authors
  1. V. V. Fávaro
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  2. P. V. Hai
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  3. O. R. Severiano
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Corresponding author

Correspondence to V. V. Fávaro.

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V.V. Fávaro is partially supported by FAPEMIG Grant RED-00133-21. O.R. Severiano is supported by INCTMat Grant 88887.613486/2021-00.

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Fávaro, V.V., Hai, P.V. & Severiano, O.R. Cohyponormality and Complex Symmetry of Linear Fractional Composition Operators on a Half-Plane. Bull Braz Math Soc, New Series 54, 40 (2023). https://doi.org/10.1007/s00574-023-00357-5

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  • DOI: https://doi.org/10.1007/s00574-023-00357-5

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