Articles by Prof. Shlomo Reisner

Updated October 2016

  1. M. Meyer and S. Reisner, The isotropy constant and boundary properties of convex bodies. Proceedings of the American Mathematical Society 144 (2016), no.9, 3935--3947.
  2. K. J. Boroczky, E. Makai Jr., M. Meyer and S. Reisner, On the volume product of planar polar convex bodies Lower estimates with stability. Studia Sci. Math. Hungar. 50 (2013), 159--198.
  3. S. Reisner, C. Schuett and E. M. Werner, Mahler's conjecture and curvature. International Math. Research Notices, vol. 2012 (2012), 1--16.
  4. M. Meyer and S. Reisner, The convex intersection body of a convex body. Glasgow Math. J. 53 (2011), 523--534.
  5. Y. Gordon, M. Junge, M. Meyer and S. Reisner, The GL-l.u.st. constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions, Proceedings of the American Math. Soc. 139 (2011), 2793--2805.
  6. M. Meyer and S. Reisner, On the volume product of polygons. Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg 81 (2011), 93--100.

  7. J. Kim and S. Reisner, Local minimality of the volume-product at the simplex. Mathematika 57 (2011), 121--134.
  8. M. Fradelizi, Y. Gordon, M. Meyer and S. Reisner, The case of equality for an inverse Santal\'o functional inequality, Advances in Geometry 10 (2010), 621--630.
  9. M. A. Lopez and S. Reisner, Hausdorff approximation of 3D convex polytopes, Information Processing Letters 107 (2008) 76--82.
  10. M. Meyer and S. Reisner, Shadow systems and volumes of polar convex bodies, Mathematika 53 (2006), 129--148.
  11. M. A. Lopez and S. Reisner, Hausdorff approximation of convex polygons, Computational Geometry, Theory and Applications 32 (2005), 139--158.
  12. S. Reisner, A note on a theorem of Borwein, Borwein, Fee and Girgensohn, Mathematical Inequalities and Applications 5 (2002), 753--754.
  13. M. A. Lopez and S. Reisner, Linear time approximation of 3D polytopes, Computational Geometry, Theory and Applications 23 (2002), 291--301.
  14. Y. Gordon, V. Maiorov, M. Meyer and S. Reisner, On best approximation by ridge functions in the uniform norm, Constructive Approximation 18 (2002), 61--85.
  15. S. Reisner, C. Schuett and E. Werner, Dropping a vertex or a facet from a convex polytope, Forum Mathematicum 13 (2001), 359--378.
  16. M. A. Lopez and S. Reisner, Efficient approximation of convex polygons, International J. of Computational Geometry and Applications 10 (2000), 445--452.
  17. M. Meyer and S. Reisner, A geometric proof of some inequalities involving mixed volumes, Beitraege zur Algebra und Geometrie 41 (2000), 335--344.
  18. M. A. Lopez and S. Reisner, Algorithms for polyhedral approximation of multidimensional ellipsoids, J. of Algorithms 33 (1999), 140--165.
  19. M. A. Lopez and S. Reisner, A special case of Mahler's conjecture, Discrete and Computational Geometry 20 (1998), 219--227.
  20. M. Meyer and S. Reisner, Inequalities involving integrals of polar - conjugate concave functions, Monatshefte fuer Math. 125 (1998), 219--227.
  21. Y. Gordon, S. Reisner and C. Schuett, Umbrellas and polytopal approximation of the Euclidean ball, J. of Approximation Theory 90 (1997), 9--22.
  22. Y. Gordon, M. Meyer and S. Reisner, Constructing a polytope to approximate a convex body, Geometriae Dedicata 57 (1995), 217--222.
  23. S. Reisner, Operators factoring through Banach lattices and ideal norms, Serdica Math. J. 21 (1995), 75--89.
  24. Y. Gordon, M. Meyer and S. Reisner, Volume approximation of convex bodies by polytopes - a constructive method, Studia Mathematica (1994), 81--95.
  25. S. Reisner, Some remarks on Lozanovskii's intermediate normed lattices, Bull. Polish Ac. Sci., Mathematics, 41 (1993), 189--196.
  26. M. Meyer, S. Reisner and M. Schmuckenschlaeger, The volume of the intersection of a convex body with its translates, Mathematika 40 (1993), 278--289.
  27. M. Meyer and S. Reisner, Characterization of affinely--rotation-- invariant log--concave measures by section--centroid location, Geometrical Aspects of Functional Analysis, LNM 1469 (1991), 145--152, Springer-Verlag.
  28. M. Meyer and S. Reisner, A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces, Geometriae Dedicata 37 (1991), 327--337.
  29. S. Reisner, Certain Banach spaces associated with graphs and CL-spaces with 1-unconditional bases, Journal of the London Math. Soc. 43 (1991), 137--148.
  30. M. Meyer and S. Reisner, Charactrization of ellipsoids by section--centroid location, Geometriae Dedicata (1989), 345-355.
  31. Y. Gordon, M. Meyer and S. Reisner, Zonoids with minimal volume--product - a new proof, Proceedings of the American Math. Soc. 104 (1988), 273--276.
  32. S. Reisner, On two theorems of Lozanovskii concerning intermediate Banach lattices, Geometrical Aspects of Functional Analysis, LNM 1317 (1988), 67--83, Springer-Verlag.
  33. S. Reisner, Minimal volume product in Banach spaces with a 1-unconditional basis, Journal of the London Math. Soc. 36 (1987), 126--136.
  34. S. Reisner, Zonoids with minimal volume--product, Math. Zeitschrift 192 (1986), 339--346.
  35. S. Reisner, Random Polytopes and the volume--product of symmetric convex bodies, Math. Scandinavica 57 (1985), 386--392.
  36. S. Reisner, Product of volumes of unit balls, Longhorn Notes, The University of Texas, 1983-1984, 193--202.
  37. Y. Gordon and S. Reisner, Some aspects of volume estimates to various parameters in Banach spaces theory, Proceedings of Research Workshop on Banach Spaces Theory, University of Iowa, June 29 - July 31, 1981. Edited by Bor-Lou Lin, University of Iowa Press, 23--53.
  38. Y. Gordon and S. Reisner, Some geometrical properties of Banach spaces of polynomials, Israel Journal of Math. 42 (1982), 99--116.
  39. M. Cwikel and S. Reisner, Interpolation of uniformly convex Banach spaces, Proceedings of the American Math. Soc. 84 (1982), 555--559.
  40. S. Reisner, On the duals of Lorentz function and sequence spaces, Indiana University Journal of Math. 31 (1982), 65--72.
  41. S. Reisner, A factorization theorem in Banach lattices and its application to Lorentz spaces, Annales de l'Institute Fourier 31 (1981), 239--255.
  42. S. Reisner, Operators which factor through convex Banach lattices, Canadian Journal of Math. 32 (1980), 1482--1500.
  43. S. Reisner, On Banach spaces having the property G.L., Pacific Journal of Math. 83 (1979), 505--521.