Korean J. Math. Vol. 31 No. 4 (2023) pp.495-504
DOI: https://doi.org/10.11568/kjm.2023.31.4.495

Some results related to non-degenerate linear transformations on Euclidean Jordan algebras

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Published: Dec 30, 2023
Keywords:
non-degenerate, strictly semi monotone property, Euclidean Jordan algebra, complementarity problem, Lyapunov-like transformations
Mathematics Subject Classification:
17C20, 17C55, 90C33

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K. Saravanan
Department of Mathematics, PSG College of Technology, Coimbatore-641004, Tamilnadu, India
https://orcid.org/0000-0003-1789-0815
V. Piramanantham
Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India
https://orcid.org/0000-0003-0452-4242
R. Theivaraman
Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India

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.



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