Dose there a function $f: \mathbb{R} \to \mathbb{R}$ satisfying $f(a+b) = f(a)+f(b)\quad\forall a,b\in\mathbb{R}$ But not of the form $f(x)= \lambda x$ ? Such $f$ must necessarily be discontinuous
2026-04-01 11:04:48.1775041488
Existence of a Noncontinous $f$ Satisfying $f(a+b) = f(a)+f(b)$
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