Operator Theory, Function Spaces, and Applications

Introduction.- My Way in Mathematics: From Ergodic Theory Through Scattering to J-inner Matrix Functions and Passive Linear Systems Theory.- The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains.- Schatten class integral operators occurring in Markov-type inequalities.- The Spectral problem for the dispersionless Camassa-Holm equation.- Twenty years after.- Form Inequalities for Symmetric Contraction Semigroups.- Generic rank-k perturbations of structured matrices.- The isomorphism problem for complete Pick algebras: a survey.- The Stationary State/Signal Systems Story.- Matrix-valued Hermitian positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials.- Dichotomy, spectral subspaces and unbounded projections.