Operator Theory, Function Spaces, and Applications: International Workshop on Operator Theory and Applications, Amsterdam, July 2014

Description

This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory Front Matter....Pages i-viii My Way in Mathematics: From Ergodic Theory Through Scattering to J-inner Matrix Functions and Passive Linear Systems Theory....Pages 1-25 Generic rank-k Perturbations of Structured Matrices....Pages 27-48 The Krein–von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains....Pages 49-66 The Spectral Problem for the Dispersionless Camassa–Holm Equation....Pages 67-90 Schatten Class Integral Operators Occurring in Markov-type Inequalities....Pages 91-104 Twenty Years After....Pages 105-122 Matrix-valued Hermitian Positivstellensatz, Lurking Contractions, and Contractive Determinantal Representations of Stable Polynomials....Pages 123-136 Form Inequalities for Symmetric Contraction Semigroups....Pages 137-165 The Isomorphism Problem for Complete Pick Algebras: A Survey....Pages 167-198 The Stationary State/Signal Systems Story....Pages 199-220 Dichotomy, Spectral Subspaces and Unbounded Projections....Pages 221-233