Claude Ambrose Rogers FRS[1] (1 November 1920 – 5 December 2005) was an English mathematician who worked in analysis and geometry.[2][3][4]
Claude Ambrose Rogers | |
---|---|
Born | 1 November 1920 |
Died | 5 December 2005 | (aged 85)
Spouse | Joan North |
Awards | FRS,[1] De Morgan Medal |
Scientific career | |
Thesis | The Transformation of Sequences by Matrices (1949) |
Doctoral advisor | Lancelot Stephen Bosanquet[2] |
Much of his work concerns the Geometry of Numbers, Hausdorff Measures, Analytic Sets, Geometry and Topology of Banach Spaces, Selection Theorems and Finite-dimensional Convex Geometry.[5][6][7][8] In the theory of Banach spaces and summability, he proved the Dvoretzky–Rogers lemma and the Dvoretzky–Rogers theorem, both with Aryeh Dvoretzky.[9][10][11][12] 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 (FRS) in 1959. He won the London Mathematical Society's De Morgan Medal in 1977.
Rogers was married to children's writer Joan North.[4] They had two daughters, Jane and Petra.