 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-1/22i/c/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

∥ T x ∥ \geq δ ∥ x ∥

and

∥ S - T ∥ < δ

, then

∥ S x ∥ \geq (δ - ∥ S - T ∥) ∥ x ∥

. Thus bounded-below maps form an open set.

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