This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear
operators is ideal for postgraduate students and researchers, and contains many illustrative …

We give an overview of some recent results on operator-valued (L p, L q) Fourier multipliers
and stability theory for evolution equations. The aim is to provide a relatively nontechnical …

The asymptotic behaviour, in particular" stability" in some sense, is studied systematically for
discrete and for continuous linear dynamical systems on Banach spaces. Of particular …

In this paper, we compare several Cesàro-and Kreiss-type boundedness conditions for a C
0-semigroup on a Banach space and we show that those conditions are all equivalent for a …

Following Bermúdez et al.[5], we study the rate of growth of the norms of the powers of a
linear operator, under various resolvent conditions or Cesàro boundedness assumptions. In …

We study growth rates for strongly continuous semigroups. We prove that a growth rate for
the resolvent on imaginary lines implies a corresponding growth rate for the semigroup if …

Let≔ z ℂ: jzj¼ 1 fg be the unit circle in the complex plane, and let α [0, 1) be irrational. The
transformation yz≔ e2pia z, z corresponds to a rotation of the circle by the angle 2πα. In …

The purpose of this paper is to revisit the proof of the Gearhardt–Prüss–Huang–Greiner
theorem for a semigroup S (t), following the general idea of the proofs that we have seen in …

We study decay rates for bounded C 0-semigroups from the perspective of L p-infinite-time
admissibility and related resolvent estimates. In the Hilbert space setting, polynomial decay …

We prove that a Kreiss bounded C 0 \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …