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Note on commuting quasi-nilpotent unbounded operators

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Abstract

Are explored the spectral properties for an unbounded operator U for which there exists an injective quasi-nilpotent unbounded operator N such that \(UN=NU\). Several important properties in spectral theory, in this new set-up are considered.

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Data Availability

The concluding comments for unbounded operators refer to calculations and statements already studied in the work cited several times. The author declare that the data supporting the findings of this study are available within the paper [6].

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Acknowledgements

The author thanks the referee for his timely quick clarifications and suggestions.

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  1. Dip. Ingegneria, Università di Palermo, 90128, Palermo, Italy

    Salvatore Triolo

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  1. Salvatore Triolo
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Correspondence to Salvatore Triolo.

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Communicated by Un Cig Ji.

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Triolo, S. Note on commuting quasi-nilpotent unbounded operators. Adv. Oper. Theory 9, 8 (2024). https://doi.org/10.1007/s43036-023-00305-6

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