@book{04c5387b51bd4552a73a456ea676c29b,
title = "The growth of a semigroup and its Cayley transform",
abstract = "Let \$A\$ be the infinitesimal generator of an exponentially stable, strongly continuous semigroup on a Hilbert space. We show that the powers of the Cayley transform of \$A\$ are bounded by a constant times \$\textbackslash{}log (n+1)\$. The proof is based on Lyapunov equations.",
keywords = "MSC-34G10, IR-76707, METIS-278712, MSC-39A11, MSC-46N20, EWI-20080",
author = "N.C. Besseling and Zwart, \{Heiko J.\}",
year = "2011",
month = apr,
language = "Undefined",
publisher = "University of Twente",
number = "1941",
address = "Netherlands",
}