Theorems · Theorem · commutative algebra
spectralNorm_mul
∀ {K : Type u_2} [inst : NormedField K] {L : Type u_3} [inst_1 : Field L] [inst_2 : Algebra K L] [IsUltrametricDist K]
{x y : L}, IsAlgebraic K x → IsAlgebraic K y → spectralNorm K L (x * y) ≤ spectralNorm K L x * spectralNorm K L yThe spectral norm is submultiplicative.
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- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
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- IsUltrametricDiststatement and proof · cited by 177
- IsAlgebraicstatement and proof · cited by 163
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