Manuscript En05-C@1 · En05-C.tex · section · aa213ea6

Compatible states and effects

Stage H: a constructed bounded-sequence observable limit › Compatible states and effects · lines 1922–1928

Choose a state $λ$ on $ℓ^{\infty} (N)$ extending the ordinary limit on convergent scalar sequences. Such a state follows from the positive state-extension theorem. It vanishes on $c_{0}$ .

Nearby in this section

proposition: Proposition: State–effect compatibility
proposition: Proposition: Coherent central sectors
section: Compatible states and effects
remark: Remark: What this limit does and does not select