How do we prove that the endomorphism of the multiplicative group of positive real numbers is unique (up to a complex variable)!? meaning: how do we prove that it has the following - and only the following - form:
$$f(x)=x^{s}\;\;\;\;(x\in \mathbb{R}^{+} \;\;,s\in\mathbb{C})$$
Friday, April 1, 2016
abstract algebra - Uniqueness of the endomorphism of the multiplicative group of positive real numbers
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