Mathematician:Claude Ambrose Rogers
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Mathematician
English mathematician who worked in analysis and geometry.
Nationality
English
History
- Born: 1 November 1920 in Cambridge, Cambridgeshire, England
- Died: 5 December 2005 in Islington, London, England
Theorems and Definitions
- Dvoretzky-Rogers Lemma (with Aryeh Dvoretzky)
- Dvoretzky-Rogers Theorem (with Aryeh Dvoretzky)
- Rogers Bound
Publications
- 1946: Linear Transformations Which Apply To All Convergent Sequences and Series (J. London Math. Soc. Vol. 21: pp. 123 – 128)
- 1946: A note on a theorem of Blichfeldt
- 1947: Hlawka's theorem in the geometry of numbers (with Harold Davenport)
- 1947: A note on a problem of Mahler
- 1947: A note on irreducible star bodies
- 1947: Existence Theorems in the Geometry of Numbers (Ann. Math. Ser. 2 Vol. 48: pp. 994 – 1002) www.jstor.org/stable/1969390
- 1948: The critical determinant of a convex cylinder (with J.H.H. Chalk)
- 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 Harold Davenport)
- 1949: The successive minima of a convex cylinder (with J.H.H. Chalk)
- 1950: The Asymptotic Directions of $n$ Linear Forms in $n+1$ Integral Variables (Proc. London Math. Soc. Ser. 2 Vol. 52: pp. 161 – 185)
- 1950: The Signatures of the Errors of Simultaneous Diophantine Approximations (Proc. London Math. Soc. Ser. 2 Vol. 52: pp. 186 – 190)
- 1950: The Transformation of Sequences by Matrices (Proc. London Math. Soc. Ser. 2 Vol. 52: pp. 321 – 364)
- 1950: A note on coverings and packings
- 1950: Absolute and unconditional convergence in normed linear spaces (with Aryeh Dvoretzky)
- 1953: The covering of $n$-dimensional space by spheres (with Paul Erdős)
- 1958: The packing of equal spheres (Proc. London Math. Soc. Ser. 3 Vol. 8: pp. 609 – 620)
- 1961: Covering space with convex bodies (with Paul Erdős)
- 1964: Packing and Covering
- 1964: The Brunn-Minkowski theorem and related inequalities (lecture at the British Mathematical Colloquium)
- 1970: Hausdorff Measures
- 2002: Selectors (with John E. Jayne)
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.