Advertisement

Automorphisms of effect algebras

  • Lucijan PlevnikEmail author
  • Peter Šemrl
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 271)

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.

Keywords

Order automorphism self-adjoint operator effect algebra orthocomplementation coexistency sequential product 

Mathematics Subject Classification (2010)

47B49 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Faculty of Mathematics and PhysicsUniversity of LjubljanaJadranska 19Slovenia

Personalised recommendations