3 problems

Let a symmetric spectral set be a state space that is spectral and symmetric, where spectrality means that every state has a common spectrum across its orthogonal decompositions an…

Let a state space be a convex set whose states admit spectral decompositions, and call it symmetric when any $n$-frame can be transformed into any other $n$-frame by an affine map…

Let $S$ be a finite-dimensional convex compact set that is spectral, meaning that all of its states have orthogonal decompositions with a common spectrum, and suppose that the symm…