## 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_
β¦ LIBER β¦
Positive Invertibility of Nonselfadjoint Operators
β Scribed by M.I. Gil
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 109 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1385-1292
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## 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