Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME RESULTS RELATED TO NON-DEGENERATE LINEAR TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS

  • K. Saravanan (Department of Mathematics, PSG College of Technology) ;
  • V. Piramanantham (Department of Mathematics, Bharathidasan University) ;
  • R. Theivaraman (Department of Mathematics, Bharathidasan University)
  • Received : 2023.03.20
  • Accepted : 2023.10.11
  • Published : 2023.12.30
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Abstract

This article deals with non-degenerate linear transformations on Euclidean Jordan algebras. First, we study non-degenerate for cone invariant, copositive, Lyapunov-like, and relaxation transformations. Further, we study that the non-degenerate is invariant under principal pivotal transformations and algebraic automorphisms.

Keywords

Acknowledgement

All the authors thank the anonymous referee(s) and editorial members of the paper for their valuable recommendations. Once again, all the authors express their gratitude to the chief editor for giving us the opportunity to reset the manuscript in a nice way.

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