  We demonstrate a close relation between Coulomb effects in non-local electron
transport and non-local shot noise in three-terminal metallic conductors.
Provided the whole structure is normal, cross-correlations in shot noise are
negative and Coulomb interaction tends to suppress both local and non-local
conductances of the system. The behavior of normal-superconducting-normal
structures at subgap energies is entirely different. In the tunneling limit
non-local differential conductance of such systems are found to have an S-like
shape and can turn negative at non-zero bias. At high transmissions crossed
Andreev reflection yields positive noise cross-correlations and Coulomb
anti-blockade of non-local electron transport.
