Less than one implies zero

13 Feb 2015  ·  Schwenninger Felix, Zwart Hans ·

In this paper we show that from the estimate $\sup_{t \geq 0}\|C(t) - \cos(at)I\| <1$ we can conclude that $C(t)$ equals $\cos(at) I$. Here $\left(C(t)\right)_{t \geq 0}$ is a strongly continuous cosine family on a Banach space...

PDF Abstract
No code implementations yet. Submit your code now


Functional Analysis