Theorems · Theorem · complex analysis
FormalMultilinearSeries.radius_compContinuousLinearMap_linearIsometryEquiv_eq
∀ {𝕜 : Type u_1} {E : Type u_3} {F : Type u_4} {G : Type u_5} [inst : NontriviallyNormedField 𝕜]
[inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
[inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace 𝕜 G] [Nontrivial E] (p : FormalMultilinearSeries 𝕜 F G)
(u : E ≃ₗᵢ[𝕜] F), (p.compContinuousLinearMap u.toLinearIsometry.toContinuousLinearMap).radius = p.radius- Cited by
- 2 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Semiringproof · cited by 13,802
- NormedSpacestatement and proof · cited by 12,499
- AddCommMonoidproof · cited by 12,281
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapproof · cited by 5,352
- one_mulproof · cited by 2,841
- Nontrivialstatement and proof · cited by 2,416
Cited by2
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.radius_compNegproof · cited by 3
- FormalMultilinearSeries.radius_compContinuousLinearMap_eqproof · cited by 0