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A short proof of the zero-two law for cosine functions
Published 22 May 2015 in math.FA | (1505.06065v1)
Abstract: Let $(C(t))\in\mathbb{R}}$ be a cosine function in a unital Banach algebra. We give a simple proof of the fact that if lim sup$_{t\to 0}\vert C(t)-1_A\vert\textless{}2,$ then $lim sup_{t\to 0}\Vert C(t)-1_A\Vert=0.$
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