Convex solutions of the Schröder equation in Banach spaces
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- by Janusz Walorski PDF
- Proc. Amer. Math. Soc. 125 (1997), 153-158 Request permission
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.References
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Additional Information
- Janusz Walorski
- Affiliation: Instytut Matematyki, Uniwersytet Śla̧ski, ul. Bankowa 14, PL-40-007 Katowice, Poland
- Email: walorski@gate.math.us.edu.pl
- Received by editor(s): September 12, 1994
- Received by editor(s) in revised form: July 1, 1995
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 153-158
- MSC (1991): Primary 39B52, 39B12, 39B22
- DOI: https://doi.org/10.1090/S0002-9939-97-03640-X
- MathSciNet review: 1353404