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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An equation $ f(x)=kx$ possessing no solutions


Authors: K. Goebel and Witold Rzymowski
Journal: Proc. Amer. Math. Soc. 51 (1975), 322
MSC: Primary 47H15
DOI: https://doi.org/10.1090/S0002-9939-1975-0372698-3
MathSciNet review: 0372698
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Abstract: An example is given of a nonlinear operation $ f:C[0,1] \to C[0,1]$ having for any $ k \in R$ no solutions of the equation $ f(x) = kx$.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0372698-3
Article copyright: © Copyright 1975 American Mathematical Society