Michiya Mori (University of Tokyo): Continuous coexistency preservers on effect algebras

University of Szeged, Bolyai Institute, Analysis seminar

Abstract. The effect algebra is the collection of positive semi-definite, non-expansive linear operators on a fixed complex Hilbert space. In this talk, we consider mappings on the effect algebra that preserve the binary relation called coexistency in both directions. I will explain the general form of such mappings under the additional assumption of continuity and finite dimensionality, but without assuming bijectivity.
This is joint work with Peter Semrl.