Theorems · Theorem · functional analysis
spectrum.spectralRadius_zero
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NormedField 𝕜] [inst_1 : Ring A] [inst_2 : Algebra 𝕜 A], spectralRadius 𝕜 0 = 0- Defined in
- Mathlib.Analysis.Normed.Algebra.Spectrum
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedFieldRingAlgebra
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- ENNRealstatement · cited by 9,879
- Ringstatement and proof · cited by 7,463
- Nontrivialproof · cited by 2,416
- iSupproof · cited by 2,415
- ENNReal.ofNNRealproof · cited by 1,279
- NormedFieldstatement and proof · cited by 1,084
- NNNorm.nnnormproof · cited by 952
- iSup_congr_Propproof · cited by 247
- nnnorm_zeroproof · cited by 40
- spectralRadiusstatement · cited by 36
- iSup_iSup_eq_leftproof · cited by 15
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