Claude Ambrose Rogers

Research Much of the work of Rogers concerns the geometry of numbers, Hausdorff measures, analytic sets, geometry of Banach spaces, selection theorems and finite-dimensional 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.

In 2002 he coauthored the book Selectors with John E. Jayne published by Princeton University Press.

Awards and honours Rogers was elected a Fellow of the Royal Society (FRS) in 1959. He won the London Mathematical Society's De Morgan Medal in 1977.

Personal life

Rogers was married to children's writer Joan North. They had two daughters, Jane and Petra.