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Convex solutions of the Schröder equation in Banach spaces

Author(s): Janusz Walorski
Journal: Proc. Amer. Math. Soc. 125 (1997), 153-158.
MSC (1991): Primary 39B52, 39B12, 39B22
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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.

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Additional Information:

Janusz Walorski
Affiliation: Instytut Matematyki, Uniwersytet Slaski, ul. Bankowa 14, PL-40-007 Katowice, Poland
Email: walorski@gate.math.us.edu.pl

DOI: 10.1090/S0002-9939-97-03640-X
PII: S 0002-9939(97)03640-X
Keywords: Schr\"{o}der functional equation, convex and increasing solutions, Krein-Rutman theorem
Received by editor(s): September 12, 1994
Received by editor(s) in revised form: July 1, 1995
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1997, American Mathematical Society


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