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feat: complexification of inner product spaces - #88

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themathqueen wants to merge 32 commits into
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complexification
Open

feat: complexification of inner product spaces#88
themathqueen wants to merge 32 commits into
masterfrom
complexification

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@themathqueen

@themathqueen themathqueen commented Aug 5, 2026

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Comment on lines +91 to +95
-- set it to private local because I'm not sure this is a good instance
private local instance [NormedSpace ℝ E] [IsScalarTower ℝ 𝕜 E] (a : E →L[𝕜] E) :
CompactSpace ↑(spectrum ℝ a) := by
rw [← spectrum_toComplexification_real]
infer_instance

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I could inline this into the cfc instance, but it gives me problems for showing the isometric cfc without it.

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