Claude Ambrose Rogers

Claude Ambrose Rogers in 1976

For the English artist, see Claude Rogers (artist).

Claude Ambrose Rogers FRS (1 November 1920 – 5 December 2005) 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.^[1]^[2]^[3]^[4] 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.

Publications

Rogers, C. A. (1964), Packing and covering, Cambridge Tracts in Mathematics and Mathematical Physics, No. 54, Cambridge University Press, ISBN 978-0-521-06121-6, MR 0172183
Rogers, C. A. (1970), Hausdorff measures, Cambridge University Press, ISBN 978-0-521-62491-6, MR 0281862
Rogers, C. Ambrose (1975), "Probabilistic and combinatorial methods in the study of the geometry of Euclidean spaces", Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1, Canad. Math. Congress, Montreal, Que., pp. 497–500, MR 0423192
Jayne, John E.; Rogers, C. Ambrose (2002), Selectors, Princeton University Press, ISBN 978-0-691-09628-5, MR 1915965

↑ Diestel, J. (1984). Sequences and series in Banach spaces. Graduate Texts in Mathematics 92. Springer-Verlag. ISBN 0-387-90859-5. MR 737004.
↑ Diestel, Joseph; Jarchow, Hans; Tonge, Andrew (1995). Absolutely summing operators. Cambridge University Press. pp. 90–91. ISBN 0-521-43168-9.
↑ Kadets, V. M.; Kadets, M. I. (1991). Rearrangements of series in Banach spaces. Translations of Mathematical Monographs 86 (Translated by Harold H. McFaden from the Russian-language (Tartu) 1988 ed.). Providence, RI: American Mathematical Society. pp. iv+123. ISBN 0-8218-4546-2. MR 1108619.
↑ Kadets, Mikhail I.; Kadets, Vladimir M. (1997). Series in Banach spaces: Conditional and unconditional convergence. Operator Theory: Advances and Applications 94 (Translated by Andrei Iacob from the Russian-language ed.). Basel: Birkhäuser Verlag. pp. viii+156. ISBN 3-7643-5401-1. MR 1442255.