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Part of 1965 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1965_9

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9/25/2008
Let f f be a continuous, nonconstant, real function, and assume the existence of an F F such that f(x\plus{}y)\equal{}F[f(x),f(y)] for all real x x and y y. Prove that f f is strictly monotone.
functionreal analysisreal analysis unsolved