Multivalued Fredholm Type Operators with Abstract Generalised Inverses

Multivalued semi-Fredholm type operators with topologically complemented kernels and ranges are investigated in normed linear spaces. It is shown that regularisers (generalised inverses) can be constructed for the classes given, and that the operators considered can be characterised in terms of their regularisers. Continuity of the inverses is discussed, and dual properties of adjoints are given.