ABSTRACT
Let us begin by introducing a purely geometric concept of infracotype1 of a normed space and define, for q ∈ [1,∞], and n ∈ N, the numerical constants
dqn(X) := inf { d ∈ R+ : x1, . . . ,xn ∈X,
( n∑ i=1
‖xi‖q )1/q
≤ d sup εi=±1
∥∥∥ n∑ i=1
εixi
∥∥∥}. Definiton 5.1.1. A normed space X is said to be of infracotype
q if there exists a constant C > 0, such that, for each n ∈ N dqn(X) ≤ C <∞.
