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9eeb9c7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 | 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
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