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Theorems · Definition · functional analysis

NormedAlgebra.toMulAlgebraNorm

(K : Type u_1) →
  (L : Type u_2) → [inst : NormedField K] → [inst_1 : NormedField L] → [inst_2 : NormedAlgebra K L] → MulAlgebraNorm K L

Given a normed field extension L / K, the norm on L is a multiplicative K-algebra norm.

Defined in
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
Cited by
2 results in Mathlib
Foundations
Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldNormedFieldNormedAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NormedAlgebra.toMulAlgebraNorm_apply · cited by 1NormedAlgebra.toMulAlgebr…NormedAlgebra.norm_eq_spectralNorm · cited by 1NormedAlgebra.norm_eq_spe…NormedAlgebra · cited by 1165NormedAlgebraNormedField · cited by 1084NormedFieldMulRingNorm · cited by 16MulRingNormMulAlgebraNorm · cited by 15MulAlgebraNormNormedField.toMulRingNorm · cited by 2NormedField.toMulRingNormNormedAlgebra.toMulAlgebraNormCITED BYCITES

Cites5

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Cited by2

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