While this submission is a draft, it cannot be used by other submissions.

Proof of `Elementary properties of Bernstein numbers` (6th statement)

groundedproofs/Lax606786Proofs/GrowthFunction.lean · lax-606786

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitLab

Description

ρ1(T)=‖T‖ρ_1(T) = ‖T‖: the Bernstein supremum over lines is the operator norm. Both sides are 00 when XX is trivial, where there are no lines at all.