  Each distributor between categories enriched over a small quantaloid Q gives
rise to two adjunctions between the categories of contravariant and covariant
presheaves, and hence to two monads. These two adjunctions are respectively
generalizations of Isbell adjunctions and Kan extensions in category theory. It
is proved that these two processes are functorial with infomorphisms playing as
morphisms between distributors; and that the free cocompletion functor of
Q-categories factors through both of these functors.
