On Pseudo-Inverses of Fredholm Operators
Abstract:
Suppose that $A$ is a Fredholm operator on a Banach space. We prove
that $A$ has index $= 0$ (resp. $\ge 0$, resp. $\le 0$) if and only if $A$
has pseudo-inverse which is invertible (resp. Fredholm and left invertible,
resp. Fredholm and right invertible). Furthermore we determine the interior
points of some classes of linear operators.
that $A$ has index $= 0$ (resp. $\ge 0$, resp. $\le 0$) if and only if $A$
has pseudo-inverse which is invertible (resp. Fredholm and left invertible,
resp. Fredholm and right invertible). Furthermore we determine the interior
points of some classes of linear operators.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2007 |
| Sprache | Englisch |
| Identifikator | KITopen-ID: 1000006914 |
| Verlag | Universität Karlsruhe (TH) |
| Serie | Preprint. Fakultät für Mathematik, Universität Karlsruhe ; 2007,10 |