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A Note on the Geometry of Certain Classes of Linear Operators

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Abstract

In this note we introduce a new technique to answer an issue posed in Fávaro et al. (Bull Braz Math Soc 51:27–46, 2020) concerning geometric properties of the set of non-surjective linear operators. We also extend and improve a related result from the same paper.

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References

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Acknowledgements

Our sincere thanks to the anonymous referees who, through their suggestions, comments and corrections, helped to make the final version of this paper better and more accurate.

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Authors and Affiliations

  1. Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, Campina Grande, 58109-970, Brazil

    Diogo Diniz

  2. Departamento de Matemática, Universidade Federal do Maranhão, São, Luís, 65085-580, Brazil

    Anselmo Raposo Jr

Authors
  1. Diogo Diniz
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  2. Anselmo Raposo Jr
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Correspondence to Diogo Diniz.

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D. Diniz was partially supported by CNPq 301704/2019-8 and Grant 2019/0014 Paraiba State Research Foundation (FAPESQ).

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Diniz, D., Raposo, A. A Note on the Geometry of Certain Classes of Linear Operators. Bull Braz Math Soc, New Series 52, 1073–1080 (2021). https://doi.org/10.1007/s00574-021-00246-9

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  • DOI: https://doi.org/10.1007/s00574-021-00246-9

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