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Theorems · Definition · functional analysis

AlgebraNorm.restriction

{R : Type u_1} →
  [inst : SeminormedCommRing R] →
    {S : Type u_2} →
      [inst_1 : Ring S] → [inst_2 : Algebra R S] → (A : Subalgebra R S) → AlgebraNorm R S → AlgebraNorm R ↥A

The restriction of an algebra norm to a subalgebra.

Defined in
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
Cited by
1 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommRingRingAlgebra
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Around this declaration

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

eq_of_powMul_faithful · cited by 1eq_of_powMul_faithfulDFunLike.coe · cited by 62936DFunLike.coeAlgebra · cited by 11388AlgebraRing · cited by 7463RingSubalgebra · cited by 1353SubalgebraAlgebraNorm · cited by 39AlgebraNormSeminormedCommRing · cited by 38SeminormedCommRingAlgebraNorm.restrictionCITED BYCITES

Cites6

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Cited by1

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