Elementary functional equations on partially ordered linear algebra
Author:
Taen Yu Dai
Journal:
Proc. Amer. Math. Soc. 79 (1980), 167173
MSC:
Primary 06F25; Secondary 39B20, 39B50
MathSciNet review:
565331
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Abstract: Suppose that a Dedekind complete partially ordered linear algebra A admits a function with familiar functional and order properties as possessed by the realvalued exponential, logarithm, root or power function on the real line. Then A can be characterized as an algebra of almost finite extendedrealvalued continuous functions defined on some proper topological space.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939198005653310
PII:
S 00029939(1980)05653310
Keywords:
Dedekind complete partially ordered linear algebra,
Cauchy functional equations,
isotone functions,
algebra of almost finite extendedrealvalued continuous functions,
matrix inequality
Article copyright:
© Copyright 1980
American Mathematical Society
