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Dorothy Maharam

Dorothy Maharam Stone
Dorothy Maharam Stone in 1991
Born
Dorothy Maharam

(1917-07-01)July 1, 1917
Parkersburg, West Virginia, US
DiedSeptember 27, 2014(2014-09-27) (aged 97)
Brookline, Massachusetts, US
Resting placeKehillath Jacob Cemetery, West Roxbury
Alma materCarnegie Institute of Technology Bryn Mawr College
Known forMaharam's theorem
Maharam algebra
SpouseArthur Stone
Children2
Scientific career
InstitutionsUniversity of Rochester
ThesisOn Measure in Abstract Sets (1940)
Doctoral advisorAnna Johnson Pell Wheeler

Dorothy Maharam Stone (July 1, 1917[1] – September 27, 2014[2]) was an American mathematician born in Parkersburg, West Virginia, who made important contributions to measure theory and became the namesake of Maharam's theorem and Maharam algebra.[3]

Life

Maharam earned her B.S. degree at Carnegie Institute of Technology in 1937 and her Ph.D. in 1940 under Anna Johnson Pell Wheeler from Bryn Mawr College with a dissertation entitled On measure in abstract sets.[4] Part of her thesis was published in the Transactions of the American Mathematical Society. Then she went on to a postdoc at the Institute for Advanced Study in Princeton, New Jersey,[5] where she first met fellow mathematician Arthur Harold Stone. They married in April 1942.[6]

Stone and Maharam both lectured at various universities in the US and the United Kingdom, including Northeastern University and University of Manchester,[7] and were faculty at the University of Rochester for many years. She was an invited speaker at a measure theory conference at Northern Illinois University in 1980.[8] Their two children, David and Ellen, both became mathematicians as well.[9]

She retired in 2001. Her husband, Arthur Stone, died August 6, 2000, and her son, David Stone, died August 27, 2014. She died a month later in Brookline, Massachusetts and was buried at Kehillath Jacob Cemetery in West Roxbury.[2]

Contributions

Maharam pioneered the research of finitely additive measures on integers. Maharam's theorem about the decomposability of complete measure spaces plays an important role in the theory of Banach spaces. Maharam published it in the Proceedings of the National Academy of Sciences of the United States of America in 1942. Another paper of Maharam, in 1947 in the Annals of Mathematics, introduced Maharam algebras, which are complete Boolean algebras with continuous submeasures.

Recognition

Maharam was named a Fellow of the American Association for the Advancement of Science in 1976.[10]

References

  1. ^ Gale, Thomson (2003). American Men & Women of Science: Q-S. p. 1022. ISBN 0787665290.
  2. ^ a b "Dorothy Stone Obituary". The Boston Globe. 2014.
  3. ^ Oxtoby, John C. "Biographical note". Measure and Measurable Dynamics, Proceedings of a Conference in Honor of Dorothy Maharam Stone held September 17–19, 1987. American Mathematical Society.
  4. ^ Dorothy Maharam at the Mathematics Genealogy Project
  5. ^ "News and Notices". The American Mathematical Monthly. 47 (10): 721–723. December 1940. doi:10.1080/00029890.1940.11991047.
  6. ^ "An Interview with Arthur Stone, by W. W. Comfort". at.yorku.ca. Retrieved 2024-02-21.
  7. ^ "Dorothy Maharam Stone - Scholars | Institute for Advanced Study". www.ias.edu. 2019-12-09. Retrieved 2024-02-21.
  8. ^ Haeder, Paul A. (May 1980). "News and Notices". The American Mathematical Monthly. 87 (5): 422–423. doi:10.1080/00029890.1980.11995055.
  9. ^ Cohn, P. M. (September 2002). "Arthur Harold Stone (1916–2000)". Bulletin of the London Mathematical Society. 34 (5): 613–618. doi:10.1112/S0024609302001091. ISSN 0024-6093.
  10. ^ "Historic Fellows". American Association for the Advancement of Science. Retrieved 2021-04-21.
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