References
C. A. Akemann and J. Anderson, Lyapunov theorems for operator algebras, Memoirs of the American Mathematical Society 94 (1991).
D. Amir and J. Lindenstrauss, The structure of weakly compact sets in Banach spaces, Annals of Mathematics 88 (1968), 35–46.
K. Ball, Markov chains, Riesz transforms and Lipschitz maps, Geometric and Functional Analysis 2 (1992), 137–172.
K. Ball, The Ribe programme, Séminaire Bourbaki, Vol. 2011/2012, Exposés 1043–1058, Astérisque 352 (2013), Exp. No. 1047, viii, 147–159.
S. Bates, W. B. Johnson, J. Lindenstrauss, D. Preiss and G. Schechtman, Affine approximation of Lipschitz functions and nonlinear quotients, Geometric and Functional Analysis 9 (1999), 1092–1127.
Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis. Vol. 1, American Mathematical Society Colloquium Publications, Vol. 48, American Mathematical Society, Providence, RI, 2000.
J. Bourgain, On Lipschitz embedding of finite metric spaces in Hilbert space, Israel Journal of Mathematics 52 (1985), 46–52.
J. Bourgain, P. G. Casazza, J. Lindenstrauss and L. Tzafriri, Banach spaces with a unique unconditional basis, up to permutation, Memoirs of the American Mathematical Society 54 (1985).
J. Bourgain and J. Lindenstrauss, Distribution of points on spheres and approximation by zonotopes, Israel Journal of Mathematics 64 (1988), 25–31.
J. Bourgain, J. Lindenstrauss and V. Milman, Approximation of zonoids by zonotopes, Acta Mathematica 162 (1989), 73–141.
A. Dvoretzky, Some results on convex bodies and Banach spaces, in Proceedings of International Symposium on Linear Spaces (Jerusalem, 1960), Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 123–160.
P. Enflo, On the nonexistence of uniform homeomorphisms between L p -spaces, Arkiv för Matematik 8 (1969), 103–105.
P. Enflo, J. Lindenstrauss and G. Pisier, On the “three space problem”, Mathematica Scandinavica 36 (1975), 199–210.
T. Figiel, J. Lindenstrauss and V. D. Milman, The dimension of almost spherical sections of convex bodies, Acta Mathematica 139 (1977), 53–94.
E. Glasner and B. Weiss, Kazhdan’s property T and the geometry of the collection of invariant measures, Geometric and Functional Analysis 7 (1997), 917–935.
A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Boletim da Sociedade de Matemática de São Paulo 8 (1953), 1–79.
W. B. Johnson and J. Lindenstrauss, Extensions of Lipschitz mappings into a Hilbert space, in Conference in Modern Analysis and Probability (New Haven, Conn., 1982), Contemporary Mathematics, Vol. 26, American Mathematical Society, Providence, RI, 1984, pp. 189–206.
W. B. Johnson and J. Lindenstrauss (eds.), Handbook of the Geometry of Banach Spaces. Vol. I, North-Holland Publishing Co., Amsterdam, 2001.
W. B. Johnson and J. Lindenstrauss (eds.), Handbook of the Geometry of Banach Spaces. Vol. 2, North-Holland, Amsterdam, 2003.
W. B. Johnson, J. Lindenstrauss and G. Schechtman, Banach spaces determined by their uniform structures, Geometric and Functional Analysis 6 (1996), 430–470.
N. J. Kalton, The complemented subspace problem revisited, Studia Mathematica 188 (2008), 223–257.
N. J. Kalton and N. T. Peck, Twisted sums of sequence spaces and the three space problem, Transactions of the American Mathematical Society 255 (1979), 1–30.
A. J. Lazar and J. Lindenstrauss, On Banach spaces whose duals are L 1 spaces, Israel Journal of Mathematics 4 (1966), 205–207.
A. J. Lazar and J. Lindenstrauss, Banach spaces whose duals are L 1 spaces and their representing matrices, Acta Mathematica 126 (1971), 165–193.
J. Lindenstrauss, Extension of compact operators, Memoirs of the American Mathematical Society 48 (1964).
J. Lindenstrauss, On nonlinear projections in Banach spaces, Michigan Mathematical Journal 11 (1964), 263–287.
J. Lindenstrauss, A short proof of Liapounoff’s convexity theorem, Journal of Mathematics and Mechanics 15 (1966), 971–972.
J. Lindenstrauss, G. Olsen and Y. Sternfeld, The Poulsen simplex, Université de Grenoble. Annales de l’Institut Fourier 28 (1978), vi, 91-114.
J. Lindenstrauss and A. PeŁczyński, Absolutely summing operators in L p -spaces and their applications, Studia Mathematica 29 (1968), 275–326.
J. Lindenstrauss and D. Preiss, On Fréchet differentiability of Lipschitz maps between Banach spaces, Annals of Mathematics 157 (2003), 257–288.
J. Lindenstrauss, D. Preiss and J. Tišer, Fréchet Differentiability of Lipschitz Functions and porous sets in Banach spaces, Annals of Mathematics Studies, Vol. 179, Princeton University Press, Princeton, NJ, 2012.
J. Lindenstrauss and H. P. Rosenthal, The \(\mathcal{L}_p\) spaces, Israel Journal of Mathematics 7 (1969), 325–349.
J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel Journal of Mathematics 9 (1971), 263–269.
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. I. Sequence spaces,, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 92, Springer-Verlag, Berlin-New York, 1977.
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II. Function Spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 97, Springer-Verlag, Berlin-New York, 1979.
M. B. Marcus and G. Pisier, Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes, Acta Mathematica 152 (1984), 245–301.
B. Maurey, Théor`emes de factorisation pour les opérateurs linéaires `a valeurs dans les espaces L p, Astérisque, Vol. 11, Société Mathématique de France, Paris, 1974
A. Naor, An introduction to the Ribe program, Japanese Journal of Mathematics 7 (2012), 167–233.
A. Naor, Y. Peres, O. Schrammand S. Sheffield, Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces, Duke Mathematical Journal 134 (2006), 165–197.
E. T. Poulsen, A simplex with dense extreme points, Université de Grenoble. Annales de l’Institut Fourier 11 (1961), 83–87, XIV.
W. Rudin, Functional Analysis, second edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991.
G. Schechtman, More on embedding subspaces of L p in l nr , Compositio Mathematica 61 (1987), 159–169.
M. Talagrand, Embedding subspaces of L 1 into l N1 , Proceedings of the American Mathematical Society 108 (1990), 363–369.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Naor, A., Schechtman, G. On the mathematical contributions of Joram Lindenstrauss. Isr. J. Math. 203 (Suppl 1), 1–11 (2014). https://doi.org/10.1007/s11856-014-1121-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11856-014-1121-0