This book is dedicated to the memory of Israel Gohberg (19282009) one of the great mathematicians of our time who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg's mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

Written by top experts in operator theory and its applications reflecting the exceptionally wide range of Gohberg's mathematical achievements State of the art contributions to single and multivariable operator theory and its applications Not restricted to a specific issue. Rather it provides a wide picture of various directions, theoretical as well as applied ones Deals with topics that are central for operator theory and its applications and have been initiated and/or developed by Israel Gohberg Includes supplementary material: sn.pub/extras