TY - BOOK ID - 107960866 TI - Stability of Operators and Operator Semigroups PY - 2010 SN - 9783034601948 9783034601955 9783034601962 9783034803113 3034601948 3034601956 PB - Basel : Springer Basel : Imprint: Birkhäuser, DB - UniCat KW - Operator theory KW - Operator theory. KW - Dynamics. KW - Ergodic theory. KW - System theory. KW - Operator Theory. KW - Dynamical Systems and Ergodic Theory. KW - Systems Theory, Control. UR - https://www.unicat.be/uniCat?func=search&query=sysid:107960866 AB - 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. ER -