Linear differential equations in Banach spaces are systematically treated with the help of
Laplace transforms. The central tool is an “integrated version” of Widder's theorem …

We extend and deepen the theory of functional calculus for semigroup generators, based on
the algebra B of analytic Besov functions, which we initiated in a previous paper. In …

Many initial value problems like Volterra equations, delay equations or wave equations can
be reduced to an abstract Cauchy problem governed by an operator matrix. We introduce a …

For a strongly continuous semigroup (T (t)) t≥ 0 with generator A on a Banach space X and
an A–bounded perturbation B we characterize norm continuity and compactness of the …

We introduce a new growth bound for C0-semigroups giving information about the absence
of norm-continuity of the semigroup and we give a corresponding spectral bound. For …

Let (T (t)) t> _o be a C0-semigroup of bounded linear operators on the Banach space E with
generator A. It is well known (el.[14] A-III, Theorem 6.6) that if (T (t)),> _o is eventually norm …

A resolvent approach to the stability of essential and critical spectra of perturbed C0-semigroups
on Hilbert spaces with applic Page 1 J.evol.equ. 7 (2007), 35–58 © 2006 Birkhäuser Verlag …

In this paper we investigate some properties of a class of C0 semigroups on Banach spaces.
Suppose that the spectrum of the infinitesimal generator is discrete and there are only finitely …

The eventually norm continuous semigroups on Hilbert space H and perturbation are
studied in this paper. By resolvent of infinitesimal generator, the sufficient and necessary …