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⊥-order automorphisms of Hilbert space effect algebras: The two-dimensional case

⊥-order automorphisms of Hilbert space effect algebras: The two-dimensional case

It is well known that the ⊥-order automorphisms of the effect algebra of a Hilbert space of dimension not less than three are implemented by unitary or antiunitary operators. The aim of this paper is to show that the same assertion also holds true in the two-dimensional case.