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Theorems · Theorem · commutative algebra

spectralValue_X_sub_C

∀ {R : Type u_1} [inst : SeminormedRing R] [Nontrivial R] (r : R), spectralValue (Polynomial.X - Polynomial.C r) = ‖r‖

The polynomial X - r has spectral value ‖ r ‖.

Defined in
Mathlib.Analysis.Normed.Unbundled.SpectralNorm
Cited by
1 results in Mathlib
Foundations
Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRingNontrivial

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