Claude Ambrose Rogers
{{Short description|British mathematician (1920–2005)}}
{{for|the English artist|Claude Rogers (artist)}}
{{EngvarB|date=August 2017}}
{{Use dmy dates|date=August 2017}}
{{Infobox scientist
| name = Claude Ambrose Rogers
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| image = C A Rogers.jpg
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| caption = Claude Ambrose Rogers in 1976
| birth_date = {{birth date |df=yes|1920|11|01}}
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| death_date = {{death date and age |df=yes|2005|12|05 |1920|12|01}}
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| thesis_title = The Transformation of Sequences by Matrices
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| thesis_year = 1949
| doctoral_advisor = Lancelot Stephen Bosanquet
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| awards = FRS, De Morgan Medal
| spouse = Joan North
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Claude Ambrose Rogers FRS{{cite journal|last1=Falconer|first1=Kenneth|author-link1=Kenneth Falconer (mathematician)|last2=Gruber|first2=Peter M.|author-link2=Peter M. Gruber|last3=Ostaszewski|first3=Adam|last4=Stuart|first4=Trevor|author-link4=John Trevor Stuart|title=Claude Ambrose Rogers 1 November 1920 – 5 December 2005|journal=Biographical Memoirs of Fellows of the Royal Society|year=2015|volume=61|pages=403–435|issn=0080-4606|doi=10.1098/rsbm.2015.0007|doi-access=free}} (1 November 1920 – 5 December 2005) was an English mathematician who worked in analysis and geometry.{{MathGenealogy|id=51769}}{{citation|url=http://old.lms.ac.uk/newsletter/344/344_08.html|first=David|last=Larman|journal=LMS Newsletter|title=Ambrose Rogers|series=Obituary|url-status=dead|archive-url=https://web.archive.org/web/20110827131332/http://old.lms.ac.uk/newsletter/344/344_08.html|archive-date=2011-08-27}}{{MacTutor|id=Rogers}}
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.{{Citation | last1=Rogers | first1=C. A. | title=Packing and covering | url=https://books.google.com/books?id=kS2pPwAACAAJ | publisher=Cambridge University Press | series=Cambridge Tracts in Mathematics and Mathematical Physics, No. 54 | isbn=978-0-521-06121-6 | mr=0172183 | year=1964}}{{Citation | last1=Rogers | first1=C. A. | title=Hausdorff measures | url=https://books.google.com/books?id=XFZFz_04tw4C | publisher=Cambridge University Press | isbn=978-0-521-62491-6 | mr=0281862 | year=1970}}{{Citation | last1=Rogers | first1=C. Ambrose | title=Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1 | chapter-url=http://mathunion.org/ICM/ICM1974.1/ | publisher=Canad. Math. Congress, Montreal, Que. | mr=0423192 | year=1975 | chapter=Probabilistic and combinatorial methods in the study of the geometry of Euclidean spaces | pages=497–500}}{{Citation | last1=Jayne | first1=John E. | last2=Rogers | first2=C. Ambrose | title=Selectors | url=http://press.princeton.edu/titles/7322.html | publisher=Princeton University Press | isbn=978-0-691-09628-5 | mr=1915965 | year=2002}} In the theory of Banach spaces and summability, he proved the Dvoretzky–Rogers lemma and the Dvoretzky–Rogers theorem, both with Aryeh Dvoretzky.{{Cite book
|last=Diestel
|first=J.
|year=1984
|title=Sequences and series in Banach spaces
|series=Graduate Texts in Mathematics
|volume=92
|publisher=Springer-Verlag
|isbn=978-0-387-90859-5
|mr=737004
|url-access=registration
|url=https://archive.org/details/sequencesseriesi0000dies
}}{{cite book |first=Joseph |last=Diestel |first2=Hans |last2=Jarchow |first3=Andrew |last3=Tonge |title=Absolutely summing operators |url=https://archive.org/details/absolutelysummin00dies |url-access=limited |publisher=Cambridge University Press |year=1995 |pages=[https://archive.org/details/absolutelysummin00dies/page/n105 90]–91 |isbn=978-0-521-43168-2 }}
{{cite book|last1=Kadets|first1=V. M.|last2=Kadets|first2=M. I.|author2-link=Mikhail Kadets|title=Rearrangements of series in Banach spaces|edition=Translated by Harold H. McFaden from the Russian-language (Tartu) 1988|series=Translations of Mathematical Monographs|volume=86|publisher=American Mathematical Society|location=Providence, RI|year=1991|pages=iv+123|isbn=978-0-8218-4546-2|mr=1108619}}
{{cite book|last1=Kadets|first1=Mikhail I.|last2=Kadets|first2=Vladimir M.|title=Series in Banach spaces: Conditional and unconditional convergence| edition=Translated by Andrei Iacob from the Russian-language|series=Operator Theory: Advances and Applications|volume=94|publisher=Birkhäuser Verlag|location=Basel|year=1997|pages=viii+156|isbn=978-3-7643-5401-5|mr=1442255}}
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 honours
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 life
Rogers was married to children's writer Joan North. They had two daughters, Jane and Petra.
References
{{Reflist|35em}}
{{De Morgan Medallists}}
{{Authority control}}
{{DEFAULTSORT:Rogers, Claude Ambrose}}
Category:20th-century English mathematicians