For 
,
the Gaussian cotype-
constant 
of a bounded operator 
between Banach spaces
is the least constant such that
 |
where the inequality holds for every finite sequence 
in 
and the 
are independent standard Gaussian random
variables. The operator 
has Gaussian cotype 
when 
is finite. The Gaussian cotype of a Banach
space 
is the Gaussian cotype of its identity operator.
