Local boundedness and continuity for a functional equation on topological spaces
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- by C. T. Ng PDF
- Proc. Amer. Math. Soc. 39 (1973), 525-529 Request permission
Abstract:
It is known that the locally bounded solutions $f$ of Cauchy’s functional equation $f(x) + f(y) = f(x + y)$ on the reals are necessarily continuous. We shall extend this result to the functional equation $f(x) + g(y) = h(T(x,y))$ on topological spaces.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 525-529
- MSC: Primary 39A40
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318719-3
- MathSciNet review: 0318719