Abstract
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.
Dedicated to Professor Rien Kaashoek
The authors were supported by grants from ARRS, Slovenia, Grants No. P1-0288, N1-0061, J1-8133.
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Plevnik, L., Šemrl, P. (2018). Automorphisms of effect algebras. In: Bart, H., ter Horst, S., Ran, A., Woerdeman, H. (eds) Operator Theory, Analysis and the State Space Approach. Operator Theory: Advances and Applications, vol 271. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04269-1_14
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DOI: https://doi.org/10.1007/978-3-030-04269-1_14
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-04268-4
Online ISBN: 978-3-030-04269-1
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