Claude Ambrose RogersFRS[1] (1 November 1920 – 5 December 2005) was an English mathematician who worked in analysis and geometry.[2][3][4]
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.[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.
^
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.
ISBN978-0-8218-4546-2.
MR1108619.
^
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.
ISBN978-3-7643-5401-5.
MR1442255.