Albrecht Böttcher & Daniel Potts 
The Diversity and Beauty of Applied Operator Theory [PDF ebook] 

Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach.- Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic.- Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators.- A spectral shift function for Schrödinger operators with singular interactions.- Quantum graph with the Dirac operator and resonance states completeness.- Robert Sheckley’s Answerer for two orthogonal projections.- Toeplitz kernels and model spaces.- Frames, operator representations, and open problems.- A survey on solvable sesquilinear forms.- An application of limiting interpolation to the Fourier series theory.- Isomorphisms of AC() spaces for countable sets.- Restricted inversion of split-Bezoutians.- Generalized backward shift operators on Z[[x]], Cramer’s formulas for solving infinite linear systems, and p-adic integers.- Feynman path integral regularization using Fourier Integral Operator -functions.- Improving Monte Carlo integration by symmetrization.- Pseudodifferential operators with compound non-regular symbols.- More on the density of analytic polynomials in abstract Hardy spaces.- Asymptotically sharp inequalities for polynomials involving mixed Hermite norms.- A two-parameter eigenvalue problem for a class of block-operator matrices.- Finite sections of the Fibonacci Hamiltonian.- Spectral asymptotics for Toeplitz operators and an application to banded matrices.- Beyond fractality: piecewise fractal and quasifractal algebras.- Unbounded operators on Hilbert C*-modules.- A characterization of positive normal functionals on the full operator algebra.- The linearised Korteweg-de Vries equation on general metric graphs.- Bounded multiplicative Toeplitz operators on sequence spaces.- On higher index differential-algebraic equations in innite dimensions.- Characterizations of centrality by local convexity of certain functions on C*-algebras.- Double-scaling limits of Toeplitz determinants and Fisher-Hartwig singularities.