Projective representations of quantum logics

Oľga Nánásiová, Viera Čerňanová, Ľubica Valášková

Philipp Niemann, Robert Wille

Sylvia Pulmannová

Krystyna Bugajska

Platon C. Deliyannis

After obtaining a representation of a quantum logic by means of projection operators on the state space, geometrical conditions are imposed on a cone in an abstract Banach space which allow us to show that certain projections leaving this cone invariant will form a quantum logic with conditioning. Several examples are also presented.

Thurlow A. Cook