Manuscript Em03-H@8 · Em03-H-v8.tex · section · 91e9e3bd

Minimal jointly invariant space

Exact signed extraction and its reached space › Minimal jointly invariant space · lines 818–832

Let $P_{m}$ project onto boundary occupation $m$ ,

V_{m} = ran (P_{m} V_{st}), r_{m} = rank (P_{m} V) .

For $ϕ = \sum_{∣ P ∣ = m} ϕ_{P} ∣ P ⟩$ , define

B_{m, k} ϕ = (k m)^{- 1/2} ∣ P ∣ = m \sum ϕ_{P} T \subseteq P ∣ T ∣ = k \sum (- 1)^{I (P ∖ T, T)} ∣ P ∖ T ⟩_{B} ∣ T ⟩_{R} .

Displayed formulas in this passage

unlabeled · line 821
$V_{m} = ran (P_{m} V_{st}), r_{m} = rank (P_{m} V) .$
unlabeled · line 825
$B_{m, k} ϕ = (k m)^{- 1/2} ∣ P ∣ = m \sum ϕ_{P} T \subseteq P ∣ T ∣ = k \sum (- 1)^{I (P ∖ T, T)} ∣ P ∖ T ⟩_{B} ∣ T ⟩_{R} .$