Mathematician:Per H. Enflo

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Mathematician

Swedish mathematician who has solved fundamental problems in functional analysis.


Nationality

Swedish


History

  • Born: 20 May 1944 in Stockholm, Sweden


Theorems and Definitions

Publications

  • 1970: Investigations on Hilbert’s fifth problem for non locally compact groups which contains reprints of:
    • 1969: Topological groups in which multiplication on one side is differentiable or linear (Math. Scand. Vol. 24: 195 – 197)
    • 1970: On the nonexistence of uniform homeomorphisms between $L^p$ spaces (Ark. Mat. Vol. 8no. 2: 103 – 5)
    • 1970: On a problem of Smirnov (Ark. Mat. Vol. 8no. 2: 107 – 109)
    • 1970: Uniform structures and square roots in topological groups I (Israel J. Math. Vol. 8no. 3: 230 – 252)
    • 1970: Uniform structures and square roots in topological groups II (Israel J. Math. Vol. 8no. 3: 253 – 272)
  • 1976: Uniform homeomorphisms between Banach spaces
  • 1972: Banach spaces which can be given an equivalent uniformly convex norm (Israel J. Math. Vol. 13no. 3–4: 281 – 288)
  • 1973: A counterexample to the approximation problem in Banach spaces (Acta Math. Vol. 130: 309 – 317)
  • 1976: On the invariant subspace problem in Banach spaces
  • 1987: On the invariant subspace problem for Banach spaces (Acta Math. Vol. 158no. 3
  • 1990: Products of Polynomials in Many Variables (Journal of Number Theory Vol. 36no. 2: 219 – 245) (with Bernard BeauzamyEnrico Bombieri and Hugh Lowell Montgomery)
  • October 1994: Quantitative Estimates for Polynomials in One or Several Variables (Math. Mag. Vol. 67no. 4: 243 – 257) (with Bernard Beauzamy and Paul Wangwww.jstor.org/stable/2690843
  • 2001: Some aspects of the invariant subspace problem (with Victor Lomonosov)