p -local unconditional structure of Banach spaces

Y. Gordon

Compositio Mathematica (1980)

  • Volume: 41, Issue: 2, page 189-205
  • ISSN: 0010-437X

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Gordon, Y.. "$p$-local unconditional structure of Banach spaces." Compositio Mathematica 41.2 (1980): 189-205. <http://eudml.org/doc/89455>.

@article{Gordon1980,
author = {Gordon, Y.},
journal = {Compositio Mathematica},
keywords = {Banach ideal norm; adjoint ideal norm; local unconditional structure constant},
language = {eng},
number = {2},
pages = {189-205},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {$p$-local unconditional structure of Banach spaces},
url = {http://eudml.org/doc/89455},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Gordon, Y.
TI - $p$-local unconditional structure of Banach spaces
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 2
SP - 189
EP - 205
LA - eng
KW - Banach ideal norm; adjoint ideal norm; local unconditional structure constant
UR - http://eudml.org/doc/89455
ER -

References

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  1. [1] S. Chevet: Series de variables aleatoires Gaussiens a valeurs dans E⊗∈F. Applications aux produits d'espaces de Wiener abstraits. Seminaire Maurey-Schwartz (1977-78) expose XIX. Zbl0395.60004
  2. [2] X.M. Fernique: Regularite des trajectoires des fonctions aleatoires Gaussiens, Lecture Notes in Math.480 (1975), Springer Verlag, 1-96. Zbl0331.60025MR413238
  3. [3] T. Figiel, S. Kwapien and A. Pelcynski: Sharp estimates for the constant of local unconditional structure of Minkowsky spaces, Bull. Acad. Polon. Sci.25 (1977) 1221-1226. Zbl0379.46012MR487397
  4. [4] T. Figiel, J. Lindenstrauss and V.D. Milman: The dimension of almost spherical sections of convex bodies. Acta. Math.139 (1977) 53-94. Zbl0375.52002MR445274
  5. [5] Y. Gordon: On p-absolutely summing constants of Banach spaces, Israel J. Math.7 (1969) 151-163. Zbl0179.17502MR250028
  6. [6] Y. Gordon: Unconditional Schauder decomposition of normed ideals of operators between some lp spaces, Pacific J. Math.60 (1975), 71-82. Zbl0328.46012MR454736
  7. [7] Y. Gordon and D.R. Lewis: Absolutely summing operators and local unconditional structures, Acta Math.133 (1974) 27-48. Zbl0291.47017MR410341
  8. [8] Y. Gordon and D.R. Lewis: Banach ideals on Hilbert spaces, Studia Math.54 (1975) 161-172. Zbl0316.47025MR388149
  9. [9] Y. Gordon, D.R. Lewis and J.R. Retherford,, Banach ideals of operators with applications, J. Funct. Anal.14 (1973) 85-129. Zbl0272.47024MR380488
  10. [10] W.B. Johnson, B. Maurey, G. Schechtman and L. Tzafriri: Symmetric structures in Banach spaces, Memoirs Amer. Math. Soc., 1979, Vol. 19, Number 217. Zbl0421.46023MR527010
  11. [11] J.L. Krivine: Theorems des factorisation dans les espaces reticules, Seminaire Maurey-Schwartz, Expose XXII et XXIII, 1974. Zbl0295.47024MR440334
  12. [12] S. Kwapien: On a theorem of L. Schwartz and its applications to analysis, Studia Math.38 (1969) 193-201. Zbl0211.43505MR278090
  13. [13] D.R. Lewis: Finite-dimensional subspaces of Lp, Studia Math.63 (1978) 207-212. Zbl0406.46023MR511305
  14. [14] A. Pietsch: Absolut p-summierende Abbildungen in normierten Räumen, Studia Math.28 (1967) 333-353. Zbl0156.37903MR216328
  15. [15] G. Pisier: Some results on Banach spaces without local unconditional structure, Seminaire Maurey-Schwartz. 
  16. [16] S. Risner: The G.L. property (Technion preprint, 1977). 
  17. [17] S.J. Szarek: On the best constants in the Khintchine inequality, Studia Math.58 (1976) 197-208. Zbl0424.42014MR430667

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