This book is dedicated to the spectral theory of linear operators on Banach spaces and of
elements in Banach algebras. It presents a survey of results concerning various types of …

Analysis is the study of limiting processes. Not every limiting process, of course, converges,
but examples have been found where processes diverge in a maximal way. Such an …

The theory of linear Volterra Integro-differental equations has been developing rapidly in the
last three decades. This book provides an easy-to-read, concise introduction to the theory of …

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of
spectral theory of linear operators defined on Banach spaces. The central items of interest in …

We introduce a notion of disjointness for finitely many hypercyclic operators acting on a
common space, notion that is weaker than Furstenberg's disjointness of fluid flows. We …

Let [Formula: see text] be a hypercyclic strongly continuous semigroup of operators. Then
each Tt (t> 0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors …

We study the notion of recurrence and some of its variations for linear operators acting on
Banach spaces. We characterize recurrence for several classes of linear operators such as …

Motivated by a recent investigation of Costakis et al. on the notion of recurrence in linear
dynamics, we study various stronger forms of recurrence for linear operators, in particular …

The main topic of this paper is the Hypercyclicity Criterion. We construct mixing operators
which fail Kitai's Criterion, thus answering a question of Shapiro. We show that the Bounded …

HYPERCYCLIC PROPERTY OF WEIGHTED COMPOSITION OPERATORS 1. Introduction Let U
be the open unit disk of the plane. Then the space Page 1 PROCEEDINGS OF THE AMERICAN …