Chapter 30 - Type, Cotype and K-Convexity

[1]  A. Grothendieck Résumé de la théorie métrique des produits tensoriels topologiques , 1996 .

[2]  G. Pisier Factorization of Linear Operators and Geometry of Banach Spaces , 1986 .

[3]  W. Johnson On finite dimensional subspaces of Banach spaces with local unconditional structure , 1974 .

[4]  V. Milman,et al.  Asymptotic Theory Of Finite Dimensional Normed Spaces , 1986 .

[5]  Louis Sucheston,et al.  OnB-convex Banach spaces , 2005, Mathematical systems theory.

[6]  J. Lindenstrauss,et al.  Geometric Nonlinear Functional Analysis , 1999 .

[7]  Chapter 24 - Ramsey Methods in Banach Spaces , 2003 .

[8]  C. Rogers,et al.  Absolute and Unconditional Convergence in Normed Linear Spaces. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[9]  L. Gross Abstract Wiener spaces , 1967 .

[10]  Alfredas Račkauskas,et al.  The Central Limit Theorem in Banach Spaces , 1989 .

[11]  B. M. Fulk MATH , 1992 .

[12]  J. Lindenstrauss,et al.  Basic Concepts in the Geometry of Banach Spaces , 2001 .

[13]  Z. Da A new proof of Федоров theorem , 2003 .

[14]  B. S. Kašin,et al.  DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS , 1977 .

[15]  Gilles Pisier Grothendieck's theorem for noncommutative C∗-algebras, with an Appendix on Grothendieck's constants , 1978 .

[16]  Gilles Pisier,et al.  On the Dimension of the l n p -Subspaces of Banach Spaces, for 1 p < 2 , 1983 .

[17]  D. Dacunha-castelle,et al.  Application des ultraproduits à l'étude des espaces et des algèbres de Banach , 1972 .

[18]  G. Pisier Remarques sur un résultat non publié de B. Maurey , 1981 .

[19]  A. Pełczyński,et al.  Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$ , 1962 .

[20]  B. Maurey,et al.  Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces LP , 1974 .

[21]  G. Pisier Sur les espaces de Banach $K$-convexes , 1980 .

[22]  Uffe Haagerup,et al.  The Grothendieck inequality for bilinear forms on C∗-algebras , 1985 .

[23]  R. C. James Nonreflexive spaces of type 2 , 1978 .

[24]  Gilles Pisier,et al.  Holomorphic semi-groups and the geometry of Banach spaces , 1982 .

[25]  R. C. James,et al.  Uniformly Non-Square Banach Spaces , 1964 .

[26]  B. Carl Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces , 1985 .

[27]  A nonreflexive Banach space that is uniformly nonoctahedral , 1974 .

[28]  V. Milman,et al.  New volume ratio properties for convex symmetric bodies in ℝn , 1987 .

[29]  V. Milman,et al.  Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space , 1985 .

[30]  Stanisław Kwapień,et al.  Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients , 1972 .

[31]  B. Bollobás THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (Cambridge Tracts in Mathematics 94) , 1991 .

[32]  E M Nikišin,et al.  A RESONANCE THEOREM AND SERIES IN EIGENFUNCTIONS OF THE LAPLACIAN , 1972 .

[33]  R. W. James SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES , 1972 .

[34]  H. Lemberg Nouvelle demonstration d’un theoreme de J. L. Krivine sur la finie representation delp dans un espace de Banach , 1981 .

[35]  G. Pisier ASYMPTOTIC THEORY OF FINITE DIMENSIONAL NORMED SPACES (Lecture Notes in Mathematics 1200) , 1987 .

[36]  G. Pisier The volume of convex bodies and Banach space geometry , 1989 .

[37]  H. Rosenthal On Subspaces of L p , 1973 .

[38]  A. Pietsch,et al.  Absolut p-summierende Abbildungen in normierten Räumen , 1967 .

[39]  N. Tomczak-Jaegermann The moduli of smoothness and convexity and the Rademacher averages of the trace classes $S_{p}$ (1≤p<∞) , 1974 .

[40]  Joram Lindenstrauss Classical Banach Spaces II: Function Spaces , 1979 .

[41]  Nicole Tomczak-Jaegermann,et al.  Projections onto Hilbertian subspaces of Banach spaces , 1979 .

[42]  Anatole Beck,et al.  A convexity condition in Banach spaces and the strong law of large numbers , 1962 .

[43]  J. Krivine,et al.  Théorèmes de factorisation dans les espaces réticules , 1974 .

[44]  L. Sucheston,et al.  On $J$-convexity and some ergodic super-properties of Banach spaces , 1975 .

[45]  J. Kahane Some Random Series of Functions , 1985 .

[46]  T. Figiel,et al.  The dimension of almost spherical sections of convex bodies , 1976 .

[47]  A. Dvoretzky A THEOREM ON CONVEX BODIES AND APPLICATIONS TO BANACH SPACES. , 1959, Proceedings of the National Academy of Sciences of the United States of America.

[48]  On Banach spaces X for which $Π_{2}(ℒ_{∞},X)=B(ℒ_{∞},X)$ , 1972 .

[49]  Gilles Pisier,et al.  On the dimension of the ⁿ_{}-subspaces of Banach spaces, for 1≤<2 , 1983 .

[50]  G. Pisier,et al.  Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach , 1976 .

[51]  Daniel P. Giesy,et al.  On a convexity condition in normed linear spaces , 1966 .

[52]  J. Krivine,et al.  Sous-espaces de dimension finie des espaces de Banach reticules , 1976 .

[53]  J. Hoffmann-jorgensen Sums of independent Banach space valued random variables , 1974 .

[54]  E. M. Nikishin RESONANCE THEOREMS and SUPERLINEAR OPERATORS , 1970 .

[55]  J. Lindenstrauss,et al.  Absolutely summing operators in Lp spaces and their applications , 1968 .

[56]  Gilles Pisier,et al.  Banach spaces with a weak cotype 2 property , 1986 .

[57]  L. Gross Abstract wiener measure and infinite dimensional potential theory , 1970 .

[58]  Nicole Tomczak-Jaegermann,et al.  On nearly euclidean decomposition for some classes of Banach spaces , 1980 .

[59]  R. C. James,et al.  Super-Reflexive Banach Spaces , 1972, Canadian Journal of Mathematics.

[60]  Per Enflo,et al.  Banach spaces which can be given an equivalent uniformly convex norm , 1972 .

[61]  G. Pisier Martingales with values in uniformly convex spaces , 1975 .