... forseparable Banach spaces:Main Theorem. If X is a separable in nite dimensional Banach space, then D(X)=∞.Part of the work for proving the Main Theorem involves showing that ifX is separable and ... CLASS OF A BANACH SPACE 433union of the Cα’s and in the manner above obtain Yβ. Again by our inductionhypothesis we will have that o(T((yβi))) ≥ α for all limit ordinals α<βand the ... structure of the spreading models of a Banach space, Canadian J. Math. 57(2005), 673–707.[BL]B. Beauzamy and J T. Laprest´e, Mod`eles´Etal´es des Espaces de Banach,inTravauxen Cours, Hermann,...