Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Breiman, Probability, Addison-Wesley, 1968.
W.B. Johnson, B. Maurey, G. Schechtman and L Tzafriri, Symmetric structures in Banach spaces, Memoirs of the A.M.S., 217, 1979.
W.B. Johnson and G. Schechtman, Embedding ℓ m p into ℓ n1 , Acta Math., 149 (1982), 71–85.
W.B. Johnson and G. Schechtman, Sums of independent random variables in rearrangement invariant function spaces, in preparation.
W.B. Johnson, G. Schechtman and J. Zinn, Best constants in moment inequalities for linear combinations of independent and exchangeable random variables, Ann. Prob., 13 (1985), 234–253.
V.D. Milman and G. Schechtman, Asymptotic Theory of Finite Dimensional Normed Spaces, Lecture Notes in Math., Vol. 1200, Springer 1986.
G. Pisier, On the dimension of the ℓ n p -subspaces of Banach spaces, for 1≤p<2, Trans. A.M.S., 276 (1983), 201–211.
H.P. Rosenthal, On the subspaces of L p (p>2) spanned by sequences of independent random variables, Israel J. Math, 8 (1970), 273–303.
H.P. Rosenthal, On the span in L p of sequences of indepenedent random variables (II), Proc. of the 6-th Berkeley Symp. on Prob. and Stat., Berkeley, Calif., 1971.
G. Schechtman, Fine embeddings of finite dimensional subspaces of L p , 1≤p<2 into finite dimensional normed spaces II, Longhorn Notes, Univ. of Texas, 1984/85.
G. Schechtman, More on embedding subspaces of L p in ℓ n r , Compositio Math., to appear.
J.Y.T. Woo, On a class of universal modular sequence spaces, Israel J. Math., 20 (1975), 193–215.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Schechtman, G. (1987). Embedding X m p spaces into ℓ n r . In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078136
Download citation
DOI: https://doi.org/10.1007/BFb0078136
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18103-3
Online ISBN: 978-3-540-47771-6
eBook Packages: Springer Book Archive