Claude Ambrose Rogers FRS (1 November 1920 – 5 December 2005) was an English mathematician who worked in analysis and geometry.

Research

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. In the theory of

Banach space In mathematics, more specifically in functional analysis, a Banach space (, ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and ...

s and summability, he proved the Dvoretzky–Rogers lemma and the Dvoretzky–Rogers theorem, both with

Aryeh Dvoretzky Aryeh (Arie) Dvoretzky (, ; May 3, 1916 – May 8, 2008) was a Ukrainian-born Israeli mathematician, the winner of the 1973 Israel Prize in Mathematics. He is best known for his work in functional analysis, statistics and probability. He was t ...

. He constructed a counterexample to a conjecture related to the Busemann–Petty problem. In the

geometry of numbers Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice (group), lattice in \mathbb R^n, and the study of these lattices provides fundam ...

, the Rogers bound is a bound for dense packings of spheres.

Awards and honours

Rogers was elected a Fellow of the Royal Society (FRS) in 1959. He won the

London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh ...

De Morgan Medal The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the society ...

in 1977.

Personal life

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

References

{{DEFAULTSORT:Rogers, Claude Ambrose 1920 births 2005 deaths 20th-century English mathematicians 21st-century English mathematicians Functional analysts Measure theorists British geometers Fellows of the Royal Society