 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/22i/a/solution

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

X^{*}

T : X \to Y

T^{*} : Y^{*} \to X^{*}

T^{*} f = f \circ T

. It is linear and

∥ T^{*} f ∥ \leq ∥ T ∥∥ f ∥

, so bounded (indeed

∥ T^{*} ∥ = ∥ T ∥

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