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A note on asymptotically approximate generalized Lie derivations

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Abstract

We investigate functions that satisfy the condition defining generalized Lie derivations only asymptotically approximately, in a neighbourhood of the origin in a Banach algebra. We show that, under suitable assumptions, they are close to generalized Lie derivations.

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Authors and Affiliations

  1. AGH University of Science and Technology, Faculty of Applied Mathematics, Mickiewicza 30, 30-059, Krakow, Poland

    Janusz Brzdęk

  2. Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland

    Zbigniew Leśniak

  3. Faculty of Management, University of Primorska, Cankarjeva 5, 6000, Koper, Slovenia

    Ajda Fošner

Authors
  1. Janusz Brzdęk
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  2. Ajda Fošner
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  3. Zbigniew Leśniak
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Correspondence to Ajda Fošner.

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Brzdęk, J., Fošner, A. & Leśniak, Z. A note on asymptotically approximate generalized Lie derivations. J. Fixed Point Theory Appl. 22, 40 (2020). https://doi.org/10.1007/s11784-020-00775-8

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  • DOI: https://doi.org/10.1007/s11784-020-00775-8

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