Claude Ambrose Rogers


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
C A Rogers.jpg
Claude Ambrose Rogers in 1976
Born(1920-11-01)1 November 1920
Died5 December 2005(2005-12-05) (aged 85)
Spouse(s)Joan North
AwardsFRS,[1] De Morgan Medal
Scientific career
ThesisThe Transformation of Sequences by Matrices (1949)
Doctoral advisorLancelot 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.

Awards and honoursEdit

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 lifeEdit

Rogers was married to children's writer Joan North.[4] They had two daughters, Jane and Petra.


  1. ^ a b Falconer, Kenneth; Gruber, Peter M.; Ostaszewski, Adam; Stuart, Trevor (2015). "Claude Ambrose Rogers 1 November 1920 – 5 December 2005". Biographical Memoirs of Fellows of the Royal Society. 61: 403–435. doi:10.1098/rsbm.2015.0007. ISSN 0080-4606.
  2. ^ a b Claude Ambrose Rogers at the Mathematics Genealogy Project
  3. ^ Larman, David, "Ambrose Rogers", LMS Newsletter, Obituary, archived from the original on 27 August 2011
  4. ^ a b O'Connor, John J.; Robertson, Edmund F., "Claude Ambrose Rogers", MacTutor History of Mathematics archive, University of St Andrews
  5. ^ 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
  6. ^ Rogers, C. A. (1970), Hausdorff measures, Cambridge University Press, ISBN 978-0-521-62491-6, MR 0281862
  7. ^ 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
  8. ^ Jayne, John E.; Rogers, C. Ambrose (2002), Selectors, Princeton University Press, ISBN 978-0-691-09628-5, MR 1915965
  9. ^ Diestel, J. (1984). Sequences and series in Banach spaces. Graduate Texts in Mathematics. Vol. 92. Springer-Verlag. ISBN 978-0-387-90859-5. MR 0737004.
  10. ^ Diestel, Joseph; Jarchow, Hans; Tonge, Andrew (1995). Absolutely summing operators. Cambridge University Press. pp. 90–91. ISBN 978-0-521-43168-2.
  11. ^ Kadets, V. M.; Kadets, M. I. (1991). Rearrangements of series in Banach spaces. Translations of Mathematical Monographs. Vol. 86 (Translated by Harold H. McFaden from the Russian-language (Tartu) 1988 ed.). Providence, RI: American Mathematical Society. pp. iv+123. ISBN 978-0-8218-4546-2. MR 1108619.
  12. ^ Kadets, Mikhail I.; Kadets, Vladimir M. (1997). Series in Banach spaces: Conditional and unconditional convergence. Operator Theory: Advances and Applications. Vol. 94 (Translated by Andrei Iacob from the Russian-language ed.). Basel: Birkhäuser Verlag. pp. viii+156. ISBN 978-3-7643-5401-5. MR 1442255.