A representation of stable Banach spaces

摘要

1. Introduction. Stable Banach spaces have been introduced for the first time by J. L. Krivine and B. Maurey [8], In this famous paper, a rather simple condition on the norm is given to ensure, for any e > 0 and any infinite dimensional subspace Y of a given Banach space X, the existence of a further subspace Z of Y that is (1 + e) isomorphic to lp, for some lgp