Inequalities Characterizing Linear-Multiplicative Functionals
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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:CX→CY, whereXandYare compact Hausdorff spaces.
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2001 ◽
Vol 114
(3)
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pp. 285-293
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1977 ◽
Vol 23
(1)
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pp. 46-58
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Keyword(s):
1986 ◽
Vol s2-34
(3)
◽
pp. 489-510
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