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Proof of `Elementary properties of the growth function` (3rd 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.

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Description

g(T,V)≤‖Tx‖≤‖T‖g(T, V) ≤ ‖Tx‖ ≤ ‖T‖ for any unit vector x∈Vx ∈ V; on the zero subspace g=0g = 0.