 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/21i/c/solution

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

∥ T_{h} f ∥_{\infty} \leq ∥ h ∥_{\infty} ∥ f ∥_{\infty}

, so

T_{h}

is bounded, and

h \mapsto T_{h}

is linear with operator norm at most one.

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