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math.OA2019
Commutativity in Jordan Operator Algebras
John van de Wetering
While Jordan algebras are commutative, their non-associativity makes it so that the Jordan product operators do not necessarily commute. When the product operators of two elements…
math.OA2018
Pure Maps between Euclidean Jordan Algebras
Abraham Westerbaan, Bas Westerbaan, John van de Wetering
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this defi…