Positive solutions to operator equations
โ Scribed by M. Laura Arias; M. Celeste Gonzalez
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 199 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
We present necessary and sufficient conditions for the existence of a positive solution to the system of adjointable operator equations We also derive a representation for a general positive solution to this system when the solvability conditions are satisfied. The results of this paper extend some
In this paper, we study the solvability of the operator equation AXB \* -BX \* A \* = C in the general setting of the adjointable operators between Hilbert C \* -modules. Based on the generalized inverses of the associated operators, we propose the necessary and sufficient conditions for the existen
This paper is concerned with an operator equation on ordered Banach spaces. The existence and uniqueness of its' positive solutions is obtained by using the properties of cones and monotone iterative technique. As applications, we utilize the results obtained in this paper to study the existence and