A closed subspace of a Banach space 
is called weakly complemented if the dual 
of the natural embedding 
has a right inverse as a bounded operator.
For example, the Banach space of all complex sequences converging to zero together with the supremum norm 
is weakly complemented in 
, not complemented in 
(Whitley 1966).
onto 
." Amer. Math. Monthly 73, 285-286,
1966.