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Convex solutions of the Schröder equation in Banach spaces |
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| Authors: | Janusz Walorski |
| Affiliation: | Instytut Matematyki, Uniwersytet Slaski, ul. Bankowa 14, PL-40-007 Katowice, Poland |
| Abstract: | The problem of the existence and uniqueness of increasing and convex solutions of the Schröder equation, defined on cones in Banach spaces, is examined on a base of the Krein-Rutman theorem. |
| Keywords: | Schr" {o}der functional equation, convex and increasing solutions, Krein-Rutman theorem |
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