Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces
β Scribed by Hailegebriel E. Gessesse; Vladimir G. Troitsky
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 295 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1385-1292
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π SIMILAR VOLUMES
We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-orde
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