The Rademacher cotype- constant
of a bounded operator
between Banach
spaces, for a real number
, is the least nonnegative constant such that
where
denotes the expectation value, the inequality
holds for every finite sequence
in
, and the
are independent
and identically distributed random variables
taking the values
and 1 with equal probability. If no such constant
exists,
(Talagrand 2021, p. 606). The operator
has Rademacher cotype
when
. The Rademacher cotype of a Banach
space
is the Rademacher cotype of its identity operator.