Manuscript Em06-A@1 · Em06-A-v1.tex · corollary · ee9923c6

Corollary: State-relative L 2 convergence

The acceptance pair and its topology · lines 897–910 · proof included or linked

Em06-A@1#cor:L2

For every named $f$ ,

∥ (O_{f, ϵ} - O_{f} [g_{cl}; ϕ_{cl}]) Ψ_{ϵ} ∥ = ϵ ∥ v_{f} ∥ ⟶ 0.

Proof. This is the centered norm evaluated in the proof of Theorem thm:main.

Displayed formulas in this passage

unlabeled · line 900
$∥ (O_{f, ϵ} - O_{f} [g_{cl}; ϕ_{cl}]) Ψ_{ϵ} ∥ = ϵ ∥ v_{f} ∥ ⟶ 0.$