For a fixed admissible region , finite rectangular admissibility requires for every finite pair. Sourcewise totalizability requires for every finite ; demandwise totalizability requires for every finite ; joint totalizability requires .
Meaning and scope
The two marginal conditions test different limits. Neither definition incorporates the doubly totalized corner.
Example
For finite-dimensional coordinate carriers, all finite and marginal contexts are realizable, while retaining every coordinate of requires an infinite-dimensional total carrier.