Tight embedding of subspaces of Lp in ℓnp for even p

Proceedings of the American Mathematical Society

Volumn 139, Issue 12, 2011, Pages 4419-4421

  Schechtman, Gideon ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80051963320     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-2011-10863-3     Document Type: Article

References (6)

1. Batson, J. D., Spielman, D. A., and Srivastava, N., Twice-Ramanujan sparsifiers.ö STOC09: Proceedings of the 41st annual ACM symposium on theory of computing (New York, NY, 2009), ACM, pp. 255-262.
2. Bennett, G., Dor, L. E., Goodman, V., Johnson, W. B., Newman, C. M., On uncomplemented subspaces of Lp, 1 < p < 2. Israel J. Math. 26 (1977), no. 2, 178-187.
3. Bourgain, J., Lindenstrauss, J., and Milman, V., Approximation of zonoids by zonotopes. Acta Math. 162 (1989), no. 1-2, 73-141.
4. Johnson, William B., and Schechtman, Gideon, Finite dimensional subspaces of Lp. Handbook of the geometry of Banach spaces, Vol. I, 837-870, North-Holland, Amsterdam, 2001.
5. König, Hermann, Isometric imbeddings of Euclidean spaces into finite-dimensional lpspaces. Panoramas of mathematics (Warsaw, 1992/1994), 79-87, Banach Center Publ., 34, Polish Acad. Sci., Warsaw, 1995.
6. N. Srivastava, Ph.D. dissertation, Yale 2010, http://www.cs.yale.edu/homes/srivastava/dissertation.pdf.