Some results on the invertibility of nonlinear operators
β Scribed by Vaclav Dolezal
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 370 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0278-081X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In Banach spaces ordered by a normal cone that contains interior points the positive invertibility of operators is studied. If there exists a uniformly positive functional then any positively invertible operator __A__ possesses a __B__ βdecomposition, i.e., a positive decomposition __A_
## It is well known that if A, B are quare matrices of the same order Nda that I + AB is nonsingular, then I + BA is also nonsinguh. In thie note we rhow that thim ass&h cm be generalized for the case that A or B is a (not necessarily linear) operator IXI a lineu w.