Mathematician:Claude Ambrose Rogers

Mathematician
English mathematician who worked in analysis and geometry.

Nationality
English

History

 * Born: 1 November 1920 in Cambridge, Cambridgeshire, England
 * 5 December 2005 in Islington, London, England

Theorems and Definitions

 * Dvoretzky-Rogers Lemma (with )
 * Dvoretzky-Rogers Theorem (with )
 * Rogers Bound

Publications



 * 1946: A note on a theorem of Blichfeldt


 * 1947: Hlawka's theorem in the geometry of numbers (with )


 * 1947: A note on a problem of Mahler


 * 1947: A note on irreducible star bodies




 * 1948: The critical determinant of a convex cylinder (with )


 * 1948: A problem of Hirsch


 * 1949: The product of the minima and the determinant of a set


 * 1949: The product of $n$ homogeneous linear forms


 * 1949: The successive minima of measurable sets


 * 1949: On the critical determinant of a certain nonconvex cylinder


 * 1949: A note on the geometry of numbers (with )


 * 1949: The successive minima of a convex cylinder (with )








 * 1950: A note on coverings and packings


 * 1950: Absolute and unconditional convergence in normed linear spaces (with )


 * 1953: The covering of $n$-dimensional space by spheres (with )




 * 1961: Covering space with convex bodies (with )


 * 1964: Packing and Covering


 * 1964: The Brunn-Minkowski theorem and related inequalities (lecture at the British Mathematical Colloquium)


 * 1970: Hausdorff Measures


 * 2002: Selectors (with )

Notable Quotes

 * Many mathematicians believe, and all physicists know, that the density cannot exceed $\dfrac \pi {\sqrt {18} }$.

Also known as
Known throughout his life as Ambrose.