Automorphisms of effect algebras
We briefly survey some recent results describing the general form of various symmetries of effect algebras. In particular, we outline some of the proof techniques and list a few most interesting open problems. A finite-dimensional version of classical Ludwig’s characterization of ortho-order automorphisms of effect algebras is proved in the absence of the bijectivity assumption.
KeywordsOrder automorphism self-adjoint operator effect algebra orthocomplementation coexistency sequential product
Mathematics Subject Classification (2010)47B49
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