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Publications

  • M.Sc. Thesis “Approximation in the complex domain”. Adviser Branko Grünbaum.
  • Ph.D. Thesis “Parameters in Banach spaces”. Adviser Joram Lindenstrauss and partly, Aryeh Dvoretzky.
  • Y. Gordon, “Properties of Generalized Juxtapolynomials”, Israel J. Math. 4 (1966), 177-188.
  • Y. Gordon, “On the Projection and MacPhail Constants in ℓNp Spaces”, Israel J. Math. 6 (1968), 295-302.
  • Y. Gordon, “On p-absolutely summing constants of Banach spaces”, Israel J. Math. 7 (1969), 151-163.
  • Y. Gordon, “On the distance coefficient between isomorphic function spaces”, Israel J. Math. 8 (1970), 391-397.
  • D.J.H. Garling and Y. Gordon, “Relations between some constants associated with finite-dimensional Banach spaces”, Israel J. Math. 9 (1971), 346-361.
  • Y. Gordon and, H.S. Witsenhausen, “On extensions of the Gale Berlekamp switching problem and constants of ℓNp spaces”, Israel J. Math. 11 (1972), 216-229.
  • Y. Gordon, D.R. Lewis and J.R. Retherford, “Banach ideals of operators with applications to the finite-dimensional structure of Banach spaces”, Israel J. Math. 13 (1972), 348-360.
  • Y. Gordon, “Asymmetry and projection constants of Banach spaces”, Israel J. Math. 14 (1973), 50-62.
  • Y. Gordon, D.R. Lewis and J.R. Retherford, “Banach ideals of operators with applications”, J. Functional Anal. 14 (1973), 85-129.
  • Y. Gordon and D.R. Lewis, “Absolutely summing, Lp factorizable operators and their applications”, Bull. Amer. Math. Soc. 79 (1973), 1270-1273.
  • Y. Gordon and D.R. Lewis, “Absolutely summing operators and local unconditional structures”, Acta Math. 133 (1974), 27-48.
  • Y. Gordon and D.R. Lewis, “Banach ideals on Hilbert spaces”, Studia Math. 54 (1975), 161-172.
  • Y. Gordon, “Unconditional Schauder decompositions of normed ideals of operators between some ℓp spaces”, Pac. J. Math. 60 (1975), 71-82.
  • Y. Gordon and P.D. Saphar, “Ideal norms on E⊗ε Lp”, Illinois J. Math. 21 (1977), 266-285.
  • Y. Gordon and D.R. Lewis, “Isometries of diagonally symmetric Banach spaces”, Israel J. Math. 28 (1977), 45-67.
  • Y. Gordon and R. Loewy, “Uniqueness of (△) bases and isometries of Banach spaces”, Mathematisches Annalen 241 (1979), 159-180.
  • Y. Gordon, “p- Local unconditional structure of Banach Spaces”, Compositio Math. 41 (1980), 189-205.
  • Y. Gordon, “A note on the GL constant of E⊗εF”, Israel J. Math. 39 (1981), 141-144.
  • Y. Benyamini and Y. Gordon, “Random factorization of operators between Banach spaces”, J. D’Analyse Mathematiqe 39 (1981), 45-74.
  • Y. Gordon and S. Reisner, “Some aspects of volume estimates to various parameters in Banach spaces”, Proc. research workshop on Banach space theory, Iowa City, July 1981, edited by Bor-Luh-Lin. Univ. of Iowa Press, 1982, 23-54.
  • Y. Gordon and S. Reisner, “Some geometrical properties of Banach spaces of polynomials”, Israel J. Math. 42 (1982), 99-116.
  • Y. Gordon, “Some inequalities for Gaussian processes and applications”, Israel J. Math. 50 (1985), 265-289.
  • Y. Gordon, H. König and C. Schütt, “On the duality problem for entropy numbers”, U. of Texas Funct. Anal. Sem. Longhorn notes, 1985.
  • Y. Gordon, “On Dvoretzky’s theorem and extensions of Slepian’s lemma”, Geometric aspects of functional analysis, GAFA, Israel Seminar of Funct. Anal. book, 1984/85.
  • Y. Gordon, H. König and C. Schütt, “Dualité des nombres d’entropie”, Seminaire d’Analyse Fonctionelle 1984-85, Pub. Math. Univ. Paris VII, 26 (1986), 95-97.
  • Y. Gordon, H. König and C. Schütt, “Geometric and probabilistic estimates for entropy and approximation numbers of operators”, J. Approx. Th. 49 (1987), 219-239.
  • Y. Gordon, “Elliptically contoured distributions”, Probab. Th. Rel. Fields, 76 (1987), 429-438.
  • Y. Gordon, “Gaussian processes and almost spherical sections of convex bodies”, Annals of Prob. 16 (1988), 180-188.
  • Y. Gordon, M. Meyer and S. Reisner, “Zonoids with minimal volume-product – a new proof”, Proc. A.M.S. 104 no.1, Sept. 1988.
  • Y. Gordon, “On Milman’s inequality and random subspaces which escape through a mesh in Rn”, Geometric Aspects of Functional Analysis, GAFA Seminar, Springer – Verlag Lecture Notes 1317, 84-106.
  • Y. Gordon and D.R. Lewis, “Dvoretzky’s theorem for quasi-normed space”, Illinois J. Math. 35, #2, (1991), 250-259.
  • Y. Gordon, “Majorization of Gaussian processes and geometric applications”, Prob. Theory and Rel. Fields 91 (1992), 251-267.
  • Y. Gordon, “Quantitative estimates on random subspaces which miss arbitrary measurable sets on the sphere”, Contemporary Mathematics 144 (1993), 127-134.
  • Y. Gordon, M. Meyer and S. Reisner, “Volume approximation of convex bodies by polytopes – A constructive method”, Studia Math. 111 (1) (1994), 81-95.
  • G. Gilat and Y. Gordon, “Geometric properties of chiral bodies”, Journal of Mathematical Chemistry 16 (1994), 37-48.
  • Y. Gordon and N. J. Kalton, “Local structure theory for quasi-normed spaces”, Bull. Sci. Math., 118 (1994), 441-453.
  • Y. Gordon and M. Meyer, “On the volume of unions and intersections of balls in Euclidean space”, Operator Theory: Advances and Applications, 77 (1995), 91-101.
  • Y. Gordon, M. Meyer and S. Reisner, “Constructing a polytope to approximate a convex body”, Geometriae Dedicata 57 (1995), 217-222.
  • Y. Gordon, M. Meyer and A. Pajor, “Ratios of volumes and factorization through ℓ∞”, Illinois J. Math. 40 Number 1, (1996), 91-107.
  • Y. Gordon, S. Reisner and C. Schütt, “Umbrellas and polytopal approximation of the Euclidean ball”, J. Approx. Theory 90, 1, (1997), 9-22.
  • Y. Gordon and M. Junge, “Volume formulas in Lp spaces”, Positivity, Vol. 1, No. 1, (1997), 7-43.
  • Y.Gordon, M. Junge and N.J. Nielsen, “The relations between volume ratios and new concepts of GL constants”, Positivity, Vol. 1, No. 4, (1997), 359-379.
  • Y. Gordon, O. Guédon and M. Meyer, “An isomorphic Dvoretzky’s theorem for convex bodies”, Studia Math. 127 (2) (1998), 191-200.
  • Y. Gordon and M. Junge, “Volume ratios in Lp spaces”, Studia Mathematica, 136 (2) (1999), 147-182.
  • Y. Gordon, V. Maiorov, M. Meyer and S. Reisner, “On best approximation by ridge functions in the uniform norm”, J. Constructive Approx., 18 (2002), 61-85.
  • Y. Gordon, O. Guédon, M. Meyer and A. Pajor, “On the Euclidean sections of some Banach spaces and operator spaces”, Math. Scandinavica 91, (2002), 247-268.
  • Y. Gordon, A. Litvak, C. Schütt and E.Werner, “Orlicz norms of sequences of random variables”, Annals of Prob., 30 (2002), No. 4, 1833-1853.
  • Y. Gordon, A. Litvak, C. Schütt and E.Werner, “Geometry of spaces between zonoids and polytopes”, Bull. Sci. Math., 126 (2002), 732-762.
  • Y. Gordon, “Banach spaces which are far from all lattices”, Positivity 7: 99-102, 2003.
  • Y. Gordon, A. Litvak, M. Meyer, A. Pajor, “John’s decomposition in the general case and applications”, J. Diff. Geom. 68 (2004), No. 1, 99-119.
  • Y. Gordon, A. Litvak, C. Schütt, E. Werner, “Minima of sequences of Gaussian random variables”, C. R. Acad. Sci. Paris, Ser 1340 (2005), 445-448.
  • Y. Gordon, A. Litvak, C. Schütt, E. Werner, “On the Minimum of Several Random Variables”, Proc. AMS 134 (2006), No. 12, 3665-3675.
  • Y. Gordon, A. Litvak, S. Mendelson, A. Pajor, “Gaussian Averages of Interpolated Bodies and Applications to Approximate Reconstruction”, J. Approx. Theory, 149 (2007), 59-73.
  • Y. Gordon, “A note on an observation of G. Schechtman”, Geometric aspects of Functional Analysis, Lect. Notes in Math, Volume 1910/2007, 127-132, Springer Berlin / Heidelberg.
  • Y. Gordon, A. Litvak, A. Pajor, N. Tomczak-Jaegermann, “Random ε nets and embeddings in ℓN∞”, Studia Mathematica, 178 (2007), 91-98.
  • M. Fradelizi, Y. Gordon, M. Meyer, S. Reisner, “The case of equality for an inverse Santaló functional inequality”, Advances in Geometry, to appear.
  • Y. Gordon, M. Meyer, “Geometric and Probabilistic Analysis of Convex Bodies With Unconditional Structures and Associated Spaces of Operators”, Positivity Volume 14, Number 1, 83-104.
  • A. Dimitriyuk, Y. Gordon, “Generalizing the Johnson-Lindenstrauss lemma to k-dimensional affine subspaces”, Studia Math. 195 (2009), 227-241.
  • M. Fradelizi, Y. Gordon, M. Meyer, S. Reisner, “The Case of Equality For an Inverse Santaló Functional Inequality”, Advances in Geometry, 10 (2010), 621-630.
  • 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.
  • Y. Gordon, A. Litvak, C. Schütt, E. Werner, “Uniform Estimates For Order Statistics and Orlicz Functions”, Arxive-paper 0809.298v1.pdf, to appear in Positivity.
  • Y. Gordon, M. Meyer, “On the Minima of the Functional Mahler Product”, Houston J. Math., accepted.
  • A. Dmitriyuk, Y. Gordon, “Large Distortion Dimension Reduction Using Random Variables”, submitted.