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Abstract In this paper, we extend the notion of weak majorization and doubly substochastic maps, and the Hardy-Littlewood-Polya theorem on majorization to Euclidean Jordan algebras. We also provide a characterization… Click to show full abstract
Abstract In this paper, we extend the notion of weak majorization and doubly substochastic maps, and the Hardy-Littlewood-Polya theorem on majorization to Euclidean Jordan algebras. We also provide a characterization of doubly substochastic maps on Euclidean Jordan algebras in terms of Jordan algebra automorphisms and quadratic representations. In conjunction with that, various weak majorization inequalities of Aujla-Silva are generalized to Euclidean Jordan algebras.
Keywords:
doubly substochastic;
euclidean jordan;
weak majorization;
jordan algebras
Journal Title: Linear Algebra and its Applications
Year Published: 2020
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Journal Title: Linear Algebra and its Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!