  We will prove an abstract comparision principle which translates gaussian
cotype in Rademacher cotype conditions and vice versa. More precisely, let
$2\!<\!q\!<\!\infty$ and $T:\,C(K)\,\to\,F$ a linear, continous operator.
  T is of gaussian cotype q if and only if
  ( \summ_1^n (\frac{|| Tx_k||_F}{\sqrt{\log(k+1)}})^q )^{1/q} \, \le c ||
\summ_1^n \varepsilon_k x_k ||_{L_2(C(K))} ,
  for all sequences with $(|| Tx_k ||)_1^n$ decreasing.
  T is of Rademacher cotype q if and only if
  (\summ_1^n (|| Tx_k||_F \,\sqrt{\log(k+1)})^q )^{1/q} \, \le c || \summ_1^n
g_k x_k ||_{L_2(C(K))} ,
  for all sequences with $(||Tx_k ||)_1^n$ decreasing.
  Our methods allows a restriction to a fixed number of vectors and complements
the corresponding results of Talagrand.
