Linear Chaos

• Topological dynamics.- Hypercyclic and chaotic operators.- The Hypercyclicity Criterion.- Classes of hypercyclic and chaotic operators.- Necessary conditions for hypercyclicity and chaos.- Connectedness arguments in linear dynamics.- Dynamics of semigroups, with applications to differential equations.- Existence of hypercyclic operators.- Frequently hypercyclic operators.- Hypercyclic subspaces.- Common hypercyclic vectors.- Linear dynamics in topological vector spaces

From the reviews: "The purpose of this well-written book is to provide a complete survey, essentially self-contained, of those results on linear chaos, that is, those results mainly concerned with the study of the behaviour of the iterates of linear transformations ... . book under review is nicely written, the material is well motivated and the selected topics are accessible to anyone with a reasonable background in functional analysis at the graduate level. ... present monograph constitutes a valuable guide for both students and researchers of the subject." (E. A. Gallardo-Gutierrez, Mathematical Reviews, 2013) "The book under review aims at presenting in an accessible and self-contained way the theory of hypercyclicity and, more generally, the theory of chaos for linear dynamical systems. ... It is accessible to advanced undergraduate or beginning graduate students, as well as to nonspecialists who wish to learn about linear dynamical systems. The book covers in great detail what may now be thought of as the basis of the theory, insisting on examples." (Sophie Grivaux, Zentralblatt MATH, Vol. 1246, 2012)