# Inequalities Characterizing Linear-Multiplicative Functionals

Authors: Włodzimierz Fechner
Journal: Journal of Function Spaces
 (2015)

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## Abstract

We prove, in an elementary way, that if
a nonconstant real-valued mapping defined on a real algebra with a
unit satisfies certain inequalities, then it is a linear and multiplicative
functional. Moreover, we determine all Jensen concave and
supermultiplicative operatorsT
:
C
X
→
C
Y, where X and Y are compact Hausdorff spaces.


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## Body


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*Source: 945758-2015-02-23.xml*