Per Enflo
Swedish mathematician and concert pianist
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Mathematics
Why Is Per Enflo Influential?
(Suggest an Edit or Addition)According to Wikipedia, Per H. Enflo is a Swedish mathematician working primarily in functional analysis, a field in which he solved problems that had been considered fundamental. Three of these problems had been open for more than forty years:The basis problem and the approximation problem and laterthe invariant subspace problem for Banach spaces.In solving these problems, Enflo developed new techniques which were then used by other researchers in functional analysis and operator theory for years. Some of Enflo's research has been important also in other mathematical fields, such as number theory, and in computer science, especially computer algebra and approximation algorithms.
Per Enflo's Published Works
Published Works
- A counterexample to the approximation problem in Banach spaces (1973) (349)
- Banach spaces which can be given an equivalent uniformly convex norm (1972) (219)
- On the invariant subspace problem for Banach spaces (1987) (186)
- On the nonexistence of uniform homeomorphisms betweenLp-spaces (1970) (134)
- On a problem of Smirnov (1970) (102)
- On the "Three space problem". (1975) (92)
- Products of polynomials in many variables (1990) (89)
- Some results and open questions on spaceability in function spaces (2013) (73)
- Uniform structures and square roots in topological groups (1970) (58)
- Extremal vectors and invariant subspaces (1998) (46)
- Subspaces of $L^{1}$ containing $L^{1}$ (1979) (44)
- Uniform structures and square roots in topological groups (1970) (40)
- On the structure of separable $L_{p}$ spaces (1 < p < ∞) (1977) (34)
- Some results concerning Lp(μ)-spaces (1973) (30)
- On infinite-dimensional topological groups (1978) (29)
- Polynomials in many variables: real vs complex norms (1993) (26)
- Sufficiency and duality for multiobjective control problems under generalized (B, ρ)-type I functions (2010) (21)
- Chapter 13 - Some Aspects of the Invariant Subspace Problem (2001) (18)
- Denseness for norm attaining operator-valued functions (2001) (17)
- Analysis at Urbana: Contractive projections on lp spaces (1989) (17)
- Uniform homeomorphisms between Banach spaces (1976) (16)
- Sound wave propagation from a point source over a homogeneous surface and over a surface with an impedance discontinuity (1987) (12)
- Extremal Vectors for a Class of Linear Operators (1998) (11)
- On Montgomery's conjecture and the distribution of Dirichlet sums (2014) (9)
- Harnack's theorem for harmonic compact operator-valued functions (2001) (8)
- SOME PROBLEMS IN THE INTERFACE BETWEEN NUMBER THEORY, HARMONIC ANALYSIS AND GEOMETRY OF EUCLIDEAN SPACE (1995) (8)
- Topological Groups in Which Multiplication on One Side is Differentiable or Linear. (1969) (8)
- A Banach space with basis constant >1 (1973) (6)
- Quantitative and qualitative estimates on the norm of products of polynomials (2020) (6)
- Some results on extremal vectors and invariant subspaces (2002) (6)
- Analysis at Urbana: Contractive projections onto subsets of L1(0,1) (1989) (5)
- AN INTERVIEW WITH THEMISTOCLES M. RASSIAS (2007) (4)
- on Sparse Languages L such that LL = Sigma (1994) (4)
- Exponential numbers of linear operators in normed spaces (1995) (4)
- Operators with eigenvalues and extreme cases of stability (2003) (3)
- Quantitative Estimates for Polynomials in One or Several Variables (1994) (2)
- Stable basis families and complexity lower bounds (1996) (2)
- Contractive Projections onto Subsets of Lp-Spaces (2020) (2)
- A simple unified explanation of several genetic issues on today's human population and on archaic humans (2017) (1)
- A property of strictly singular one-to-one operators (2003) (1)
- A history of solving some famous problems in mathematical analysis (2022) (1)
- A property of strictly singular 1-1 operators (2001) (0)
- Modeling the effects of nutrient concentrations on ecosystem stability : Framework for a Great Lakes model (2009) (0)
- Quantitative and qualitative estimates on the norm of products of polynomials (2020) (0)
- Reproductively disadvantageous regions and archaic humans (2017) (0)
- Investigations on Hilbert's fifth problem for non locally compact groups (1970) (0)
- Extremal vectors and rectifiability (2011) (0)
- Multiobjective variational programming under generalized (V, p)-B-type I functions (2009) (0)
- LOWER BOUNDS FOR NORMS OF PRODUCTS OF POLYNOMIALS VIA BOMBIERI INEQUALITY (2012) (0)
- Characterizations of Rotundities of Normed Spaces by Means of Their d-Properties (2017) (0)
- Tribute to Joe Diestel (1943–2017) (2018) (0)
- The Largest Coefficient in Products of Polynomials (2020) (0)
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