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Claude Ambrose Rogers FRS was an English mathematician who worked in analysis and geometry.
Much of his work concerns the theory of normed spaces and convex geometry. In the theory of Banach spaces and summability, he proved the Dvoretzky–Rogers lemma and the Dvoretzky–Rogers theorem, both with Aryeh Dvoretzky. He constructed a counterexample to a conjecture related to the Busemann–Petty problem. In the geometry of numbers, the Rogers bound is a bound for dense packings of spheres.
Rogers was elected a fellow of the Royal Society in 1959. He won the London Mathematical Society's De Morgan Medal in 1977. He was married to children's writer Joan North.
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