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arxiv: 1803.00762 · v1 · pith:HDQ6OKVKnew · submitted 2018-03-02 · 🧮 math.FA

On order automorphisms of the effect algebra

classification 🧮 math.FA
keywords automorphismsorderalgebraeffectproofscharacterizationcomplicatedcone
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We give short proofs of two \v{S}emrl's descriptions of order automorphisms of the effect algebra. This sheds new light on both formulas that look quite complicated. Our proofs rely on Moln\'{a}r's characterization of order automorphisms of the cone of all positive operators.

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