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one of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. in this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. we also devote to characterizing bijective morphisms on quantum effects leaving the witness...

We initiate a theory of locally eventually positive operator semigroups on Banach lattices. Intuitively this means: given initial datum, the solution corresponding Cauchy problem becomes (and stays) in part domain, after sufficiently large time. A drawback present C0-semigroups is that it applicable only when leading eigenvalue semigroup generator has strongly eigenvector. weaken requirement an...