Canonical analysis relative to a closed subspace Original Research Article

First a maximum coefficient notion between two real closed Hilbertian subspaces relative to a third one is given. Many examples illustrate the study when the third subspace is trivial or not. Then a Relative Canonical Analysis between two closed subspaces relative to a third one is introduced; it leads to Relative (or partial) Association Measures and allows a notion of Relative Information between subspaces.