Less than one implies zero

• Autorzy: Felix L. Schwenninger , Hans Zwart
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 47D09: Operator sine and cosine functions and higher-order Cauchy problems
• 47D06: One-parameter semigroups and linear evolution equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 229
• Numer: 2
• Strony: 181-188

Daty

wydano

2015

Twórcy

autor

Felix L. Schwenninger

• Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
• School of Mathematics and Natural Sciences, Arbeitsgruppe Funktionalanalysis, University of Wuppertal, D-42119 Wuppertal, Germany

autor

Hans Zwart

• Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

Identyfikatory

DOI

10.4064/sm8218-12-2015