Allen Shields

Allen Lowell Shields (May 7, 1927 – September 16, 1989) was an American mathematician who worked on measure theory, complex analysis, functional analysis and operator theory,[1][2][3] and was "one of the world's leading authorities on spaces of analytic functions."[4]

Allen Shields
Born(1927-05-07)May 7, 1927
DiedSeptember 16, 1989(1989-09-16) (aged 62)
Alma materMassachusetts Institute of Technology
Scientific career
FieldsMathematics
InstitutionsUniversity of Michigan
ThesisOn additive properties of real numbers (1952)
Doctoral advisorWitold Hurewicz
Doctoral studentsTheodore Kaczynski
Joel Shapiro
Russell Lyons

Shields was a student of Witold Hurewicz.[5]

A special issue of The Mathematical Intelligencer, for which he served as editor of the "Years Ago" column, was dedicated to his memory in 1990.[4]

Notable students

Shields directed a large number of doctoral dissertations,[4][5] including the 1967 PhD thesis of Theodore Kaczynski titled "Boundary Functions".[5]

References

  1. Duren, Peter (1990), "In remembrance of Allen Shields", The Mathematical Intelligencer, 12 (2): 11–14, doi:10.1007/BF03023995, ISSN 0343-6993, MR 1044920, S2CID 122157471
  2. Shapiro, Harold S. (1990), "Allen Lowell Shields  some reminiscences", The Mathematical Intelligencer, 12 (2): 8–10, doi:10.1007/BF03023994, MR 1044919, S2CID 120565153
  3. O'Connor, John J.; Robertson, Edmund F., "Allen Shields", MacTutor History of Mathematics archive, University of St Andrews
  4. Axler, Sheldon (1990), "Dedication", The Mathematical Intelligencer, 12 (2): 3, doi:10.1007/BF03023992, MR 1044917
  5. Allen Shields at the Mathematics Genealogy Project
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