In this article, we proved that a Schatten $ p $-(quasi)norm for $ 0 < p < 1 $, defined on Euclidean Jordan algebras, satisfied a relaxed triangle inequality with an optimal constant $ 2^{\frac{1}{p} - 1} $; hence, it indeed induced a quasinorm. This confirmed the validity of a conjecture raised by Huang, Chen, and Hu.
Citation: Juyoung Jeong. The Schatten $ p $-quasinorm on Euclidean Jordan algebras[J]. AIMS Mathematics, 2024, 9(2): 5028-5037. doi: 10.3934/math.2024244
In this article, we proved that a Schatten $ p $-(quasi)norm for $ 0 < p < 1 $, defined on Euclidean Jordan algebras, satisfied a relaxed triangle inequality with an optimal constant $ 2^{\frac{1}{p} - 1} $; hence, it indeed induced a quasinorm. This confirmed the validity of a conjecture raised by Huang, Chen, and Hu.
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Juyoung Jeong. The Schatten $ p $-quasinorm on Euclidean Jordan algebras[J]. AIMS Mathematics, 2024, 9(2): 5028-5037. doi: 10.3934/math.2024244
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