Theorems · Theorem · commutative algebra
spectralNorm_one
∀ {K : Type u_2} [inst : NormedField K] {L : Type u_3} [inst_1 : Field L] [inst_2 : Algebra K L], spectralNorm K L 1 = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedFieldFieldAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- NormedFieldstatement and proof · cited by 1,084
- map_oneproof · cited by 861
- NormOneClass.norm_oneproof · cited by 148
- spectralNormstatement and proof · cited by 31
- spectralNorm_extendsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- spectralAlgNorm_oneproof · cited by 1