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Theorems · Theorem · commutative algebra

spectralAlgNorm_of_finiteDimensional_normal_def

∀ (K : Type u_2) [inst : NormedField K] (L : Type u_3) [inst_1 : Field L] [inst_2 : Algebra K L]
  [h_fin : FiniteDimensional K L] [hn : Normal K L] [inst_3 : IsUltrametricDist K] (x : L),
  (spectralAlgNorm_of_finiteDimensional_normal K L) x = spectralNorm K L x
Defined in
Mathlib.Analysis.Normed.Unbundled.SpectralNorm
Cited by
3 results in Mathlib
Foundations
Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldFieldAlgebraFiniteDimensionalNormalIsUltrametricDist
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

spectralNorm_mul · cited by 0spectralNorm_mulspectralNorm_neg · cited by 0spectralNorm_negspectralNorm_smul · cited by 0spectralNorm_smulDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealAlgebra · cited by 11388AlgebraField · cited by 7404FieldFiniteDimensional · cited by 1854FiniteDimensionalNormedField · cited by 1084NormedFieldIsUltrametricDist · cited by 177IsUltrametricDistNormal · cited by 92NormalAlgebraNorm · cited by 39AlgebraNormspectralNorm · cited by 31spectralNormspectralAlgNorm_of_finiteDimensional_normal · cited by 4spectralAlgNorm_of_finite…spectralAlgNorm_of_finiteDime…CITED BYCITES

Cites11

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Cited by3

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