Rates of Convergence for the Approximation of Dual Shift-Invariant Systems in ... (...).
The reducing subspaces of Toeplitz operators on Dirichlet type spaces of the are described, which extends the results for the corresponding operators on Bergman spaces of the bidisk.
We introduce the notion of Engliš algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Engliš (1995). Here we give some new results on Engliš C*-algebras on abstract reproducing kernel Hilbert spaces and some applications to various questions of operator theory. In particular, we give applications to Riccati operator equations, zero Toeplitz products, and the existence of invariant subspaces for some operators.