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Property (R) Under Compact Perturbations

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Abstract

This paper discusses the stability of a kind of spectral property called property (R) under compact perturbations in the setting of Hilbert space. Necessary and sufficient conditions are given for such a spectral property to be invariant under compact perturbations.

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Acknowledgements

Research for this paper was supported by NSFC (11601181) and a grant (2018B24) from Jilin University of Finance and Economics.

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Authors and Affiliations

  1. School of Statistics, Jilin University of Finance and Economics, Changchun, 130117, People’s Republic of China

    Boting Jia

  2. School of Management Science and Information Engineering, Jilin University of Finance and Economics, Changchun, 130117, People’s Republic of China

    Youling Feng

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  1. Boting Jia
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  2. Youling Feng
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Correspondence to Boting Jia.

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Jia, B., Feng, Y. Property (R) Under Compact Perturbations. Mediterr. J. Math. 17, 73 (2020). https://doi.org/10.1007/s00009-020-01506-6

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  • DOI: https://doi.org/10.1007/s00009-020-01506-6

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