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Mathlib/Analysis/SpecialFunctions/Log/Compact.lean

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@@ -117,6 +117,8 @@ theorem riesz_lemma_one
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rwa [← le_inv_mul_iff₀' (by simpa), ← h₂, smul_sub, inv_smul_smul₀] at h₁
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simpa using hx₀'
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#find_home! riesz_lemma_one
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/--
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Given an endomorphism `S` of a normed space that's a closed embedding but not surjective, we can
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find a sequence of unit vectors `f n`, such that `f n` is in the range of `S ^ n` but is at least
@@ -241,7 +243,7 @@ theorem IsCompactOperator.forall_eigenspace_ne_bot_iff_eq_zero
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constructor
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· intro h
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rw [← ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric] at hT'
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have := CStarAlgebra.norm_or_neg_norm_mem_spectrum
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-- have := CStarAlgebra.norm_or_neg_norm_mem_spectrum (a := (T : End 𝕜 X))
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sorry
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· rintro rfl μ h
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obtain ⟨v, hv⟩ := h.exists_hasEigenvector

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