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**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(s) | 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.

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^{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. - ^
^{a}^{b}Claude Ambrose Rogers at the Mathematics Genealogy Project **^**Larman, David, "Ambrose Rogers",*LMS Newsletter*, Obituary, archived from the original on 27 August 2011- ^
^{a}^{b}O'Connor, John J.; Robertson, Edmund F., "Claude Ambrose Rogers",*MacTutor History of Mathematics archive*, University of St Andrews **^**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. Vol. 92. Springer-Verlag. ISBN 978-0-387-90859-5. MR 0737004.**^**Diestel, Joseph; Jarchow, Hans; Tonge, Andrew (1995).*Absolutely summing operators*. Cambridge University Press. pp. 90–91. ISBN 978-0-521-43168-2.**^**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.**^**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.