This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications.

Commutative Banach algebras generated by Toeplitz operators on the unit ball.- Toeplitz operators on Fock space: revisiting some old problems.- Laplace-Beltrami equation on surfaces with the Lipschitz boundary.- Reproducing kernels and distinguished metrics.- Fock-Carleson type measures and horizontal Toeplitz operators.- Asymptotics of all eigenvalues of large non self-adjoint Toeplitz Matrices.- A semi-classical limit with applications to Toeplitz algebras.- Solving twofold Ellis-Gohberg inverse problems.- A C*-algebra of nonlocal convolution type operators.- The Maslov index and the spectrum of differential operators.- Toeplitz operators on the unit sphere.- Diagonalization of translation-invariant operators in reproducing kernel Hilbert spaces.- Toeplitz operators and representation theory.- On "all but m" families of projections.- Szego theorems for singular Toeplitz operators in the Bargmann space.- Toeplitz operators with radial symbols.- Schrodinger operators with singular potentials supported by unbounded hypersurfaces.- Toeplitz Operators on the Poly-Bergman Spaces of the Upper Half-Plane.- Polyanalytic Spaces.- Algebras Generated by Toeplitz Operator on the Siegel Domain.- On the essential norms of Toeplitz operators.- Making the case for pseudodifferential arithmetic.- Reproducing kernels and Toeplitz operators on Kepler varieties.- Compact quantum surfaces from the Toeplitz algebra.- Sarason's Toeplitz product problem.