English

Order automorphisms of effect algebras

Functional Analysis 2026-02-25 v1

Abstract

An elegant description of the general form of order automorphisms of effect algebras has been known in the complex case. We present a much simpler proof based on the projective geometry which works also in the real case. As an application we classify order isomorphic pairs of matrix intervals and describe the general form of order isomorphisms for any pair of isomorphic matrix intervals.

Keywords

Cite

@article{arxiv.2602.20888,
  title  = {Order automorphisms of effect algebras},
  author = {Peter Semrl},
  journal= {arXiv preprint arXiv:2602.20888},
  year   = {2026}
}
R2 v1 2026-07-01T10:49:53.122Z