Nonlinear Functional Analysis and Applications

  • 제28권4호
  • /
  • Pages.887-902
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  • 2023
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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ALMOST QUADRATIC LIE *-DERIVATIONS ON CONVEX MODULAR *-ALGEBRAS

  • Ick-Soon Chang (Department of Mathematics, Chungnam National University) ;
  • Hark-Mahn Kim (Department of Mathematics, Chungnam National University)
  • 투고 : 2023.01.27
  • 심사 : 2023.06.09
  • 발행 : 2023.12.15
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초록

In this article, we investigate an approximate quadratic Lie *-derivation of a quadratic functional equation f(ax + by) + abf(x - y) = (a + b)(af(x) + bf(y)), where ab ≠ 0, a, b ∈ ℕ, associated with the identity f([x, y]) = [f(x), y2] + [x2, f(y)] on a 𝜌-complete convex modular *-algebra χ𝜌 by using ∆2-condition via convex modular 𝜌.

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과제정보

The authors declare that they have no competing interests. All of the authors would like to thank editors and referees for their valuable comments. This work was supported by research fund of Chungnam National University.

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