@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 $\log (n+1)$. 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, Department of Applied Mathematics",

number = "1941",

}