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This book is dedicated to the memory of Israel Gohberg (1928–2009) – 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.

Operator theory. --- Operator theory --- Selfadjoint operators --- Free probability theory --- Operator algebras --- Functional analysis --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematics. --- Matrix theory. --- Algebra. --- Functional analysis. --- Functions of complex variables. --- System theory. --- Operator Theory. --- Functional Analysis. --- Several Complex Variables and Analytic Spaces. --- Linear and Multilinear Algebras, Matrix Theory. --- Systems Theory, Control. --- Differential equations, partial. --- Systems theory. --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Systems, Theory of --- Systems science --- Science --- Mathematical analysis --- Complex variables --- Elliptic functions --- Functions of real variables --- Philosophy --- Gohberg, I. --- Gohberg, I. C., --- Gochberg, I. Z., --- Gokhberg, Izrailʹ T︠S︡udikovich. --- Gohberg, Israel, --- Gokhberg, Izrailʹ T︠S︡udikovich, --- Gokhberg, Yiśraʼel, --- Gokhberg, I. T︠S︡.