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math.OA2019★ 9 cited
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★ 3 cited
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…