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
Allen Lowell Shields

(1927-05-07)May 7, 1927
New York, U.S.
DiedSeptember 16, 1989(1989-09-16) (aged 62)
Academic background
Alma materMassachusetts Institute of Technology
ThesisOn Additive Properties of Real Numbers (1952)
Doctoral advisorWitold Hurewicz
Academic work
DisciplineMathematician
InstitutionsUniversity of Michigan
Doctoral students

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 edit

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

References edit

  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. ^ a b c Axler, Sheldon (1990), "Dedication", The Mathematical Intelligencer, 12 (2): 3, doi:10.1007/BF03023992, MR 1044917
  5. ^ a b c Allen Shields at the Mathematics Genealogy Project