Functions which operate on the real part of a function algebra

Hatori, Osamu

doi:10.1090/S0002-9939-1981-0627693-6

Functions which operate on the real part of a function algebra
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Proc. Amer. Math. Soc. 83 (1981), 565-568 Request permission

Abstract:

Recently S. J. Sidney [5] has shown that a "highly nonaffine" function $h$ on an interval cannot operate by composition on the real part of a nontrivial function algebra. In this paper, we obtain the general result by considering the case in which $h$ is not "highly nonaffine".

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