The invertibility of operators and contraction mappings
β Scribed by Vaclav Dolezal
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 236 KB
- Volume
- 18
- 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_
## Abstract The paper is devoted to the investigation of the Helmholtz operators describing the propagation of acoustic waves in nonβhomogeneous space. We consider the operator __A__ with a wave number __k__ such that where __k__~0~ is a positive function, __k__~Β±~ are complex constants with βοΈ