Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications)

Tanja Eisner

ISBN 10: 3034803117 / ISBN 13: 9783034803113

Published by Birkh�user 2012-09-07, 2012

About this Item

Seller Inventory # 6666-IUK-9783034803113

Bibliographic Details

Title: Stability of Operators and Operator ...

Publisher: Birkh�user 2012-09-07

Publication Date: 2012

Binding: Paperback

Condition: New

About this title

Synopsis:

This book systematically studies the asymptotic behavior, in particular "stability" in some sense, for discrete and continuous linear dynamical systems on Banach spaces. Of special concern is convergence to an equilibrium regarding various topologies.

From the Back Cover:

This book is about stability of linear dynamical systems, discrete and continuous. More precisely, we discuss convergence to zero of strongly continuous semigroups of operators and of powers of a bounded linear operator, both with respect to different topologies. The discrete and the continuous cases are treated in parallel, and we systematically employ a comparison of methods and results in either case. Apart from classical results, many recent crucial developments in the area are presented, such as the resolvent approach to stability. Special attention is payed to stability with respect to the weak operator topology. We also connect stability in operator theory to its analogues in ergodic theory and harmonic analysis. The book is addressed to all researchers and graduate students interested in this field.