Functions which operate on the real part of a function algebra

Osamu Hatori
1981 Proceedings of the American Mathematical Society  
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".
doi:10.1090/s0002-9939-1981-0627693-6 fatcat:sowptpmrnna6vnxz7pjkkgqmcq