Convex solutions of the Schröder equation
in Banach spaces
Author:
Janusz Walorski
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
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Abstract | References | Similar Articles | Additional Information
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 Ślaski, ul. Bankowa 14, PL-40-007 Katowice, Poland
Email:
walorski@gate.math.us.edu.pl
DOI:
https://doi.org/10.1090/S0002-9939-97-03640-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
Article copyright:
© Copyright 1997
American Mathematical Society
