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 spaces and
summability
In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.
If a series converges, the individual terms of the series must ...
, he proved the Dvoretzky–Rogers lemma and the
Dvoretzky–Rogers theorem, both with
Aryeh Dvoretzky
Aryeh (Arie) Dvoretzky ( he, אריה דבורצקי, russian: Арье Дворецкий; May 3, 1916 – May 8, 2008) was a Russian-born Israeli mathematician, the winner of the 1973 Israel Prize in Mathematics. He is best known for his w ...
.
[
] 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 in \mathbb R^n, and the study of these lattices provides fundamental informatio ...
, 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's
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