| import Mathlib.Analysis.InnerProductSpace.l2Space | |
| import Mathlib.Analysis.Normed.Operator.Extend | |
| import Mathlib.LinearAlgebra.Finsupp.LinearCombination | |
| namespace OAI | |
| namespace Invariant233.Fields | |
| noncomputable def rationalComplex (q : ℚ × ℚ) : ℂ := | |
| Complex.equivRealProdCLM.symm ((q.1 : ℝ), (q.2 : ℝ)) | |
| variable {ι H F : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] | |
| [NormedAddCommGroup F] [NormedSpace ℂ F] [CompleteSpace F] | |
| noncomputable def columnOperator (b : HilbertBasis ι ℂ H) (c : ι → F) : H →L[ℂ] F := | |
| (Finsupp.linearCombination ℂ c).extendOfNorm (Finsupp.linearCombination ℂ b) | |
| end Invariant233.Fields | |
| end OAI | |