Geodesic
Less than one implies zero
Felix L. Schwenninger1 ; Hans Zwart2
1Department of Applied Mathematics University of Twente P.O. Box 217 7500 AE Enschede, The Netherlands and School of Mathematics and Natural Sciences Arbeitsgruppe Funktionalanalysis University of Wuppertal D-42119 Wuppertal, Germany
2Department of Applied Mathematics University of Twente P.O. Box 217 7500 AE Enschede, The Netherlands
Studia Mathematica, Tome 229 (2015) no. 2, pp. 181-188
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In this paper we show that from an estimate of the form $\sup_{t \geq 0}\| C(t) - \cos(at)I\| 1$, we can conclude that $C(t)$ equals $\cos(at) I$. Here $(C(t))_{t \geq 0}$ is a strongly continuous cosine family on a Banach space.
DOI : 10.4064/sm8218-12-2015
Keywords: paper estimate form sup geq cos conclude equals cos here geq strongly continuous cosine family banach space

Felix L. Schwenninger  1   ; Hans Zwart  2

1 Department of Applied Mathematics University of Twente P.O. Box 217 7500 AE Enschede, The Netherlands and School of Mathematics and Natural Sciences Arbeitsgruppe Funktionalanalysis University of Wuppertal D-42119 Wuppertal, Germany
2 Department of Applied Mathematics University of Twente P.O. Box 217 7500 AE Enschede, The Netherlands 
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Felix L. Schwenninger; Hans Zwart. Less than one implies zero. Studia Mathematica, Tome 229 (2015) no. 2, pp. 181-188. doi: 10.4064/sm8218-12-2015

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