ISSN:
1420-8938
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Each infinite dimensional subspace ofL p (0〈p≦1) is shown to contain a copy of somel q p≦q〈∞, using arguments similar to the ones that appearin Krivine and Maurey's paper concerning stable Banach spaces. Generally speaking, ifX is a stable infinite dimensionalp-Banach space, with 0〈p≦1, then, there exists aq(p≦q〈∞), such that,X contains (1+ε)-isomorphic copies ofl q , for all ε〉0. Moreover, it is possible to prove that if a stablep-Banach space, 0〈p≦1, contains an isomorphic copy ofl q,p≦q〈∞, then, it also contains (1+ε) -isomorphic copies ofl q , for all ε〉0.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01192821
Permalink