Growth estimates for $\exp(A^{-1}t)$ on a Hilbert space

Zwart, H.J. (2007) Growth estimates for $\exp(A^{-1}t)$ on a Hilbert space. Semigroup Forum, 74 (3). pp. 487-494. ISSN 0037-1912

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Abstract:	Let $A$ be the infinitesimal generator of an exponentially stable, strongly continuous semigroup on the Hilbert space $H$ . Since $A^{-1}$ is a bounded operator, it is the infinitesimal generator of a strongly continuous semigroup. In this paper we show that the growth of this semigroup is bounded by a constant times $\log(t)$ .
Item Type:	Article
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/62177
Official URL:	http://dx.doi.org/10.1007/s00233-006-0679-1
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Metis ID: 247054

Growth estimates for on a Hilbert space