Toeplitz operators associated with isometries

Toeplitz Operators

This article discusses Paul Halmos’s crucial work on Toeplitz operators and the consequences of that work. Mathematics Subject Classification (2000). 47B35.

Toeplitz operators with special symbols

On Commutators of Isometries and Hyponormal Operators

A sufficient condition is obtained for two isometries to be unitarily equivalent. Also, a new class of M-hyponormal operator is constructed

Toeplitz Operators and Localization Operators

We show that for any localization operator on the Fock space with polynomial window, there exists a constant coefficient linear partial differential operator D such that the localization operator with symbol f coincides with the Toeplitz operator with symbol Df . An analogous result also holds in the context of Bergman spaces on bounded symmetric domains. This verifies a recent conjecture of Co...

Properties of Iteration of Toeplitz Operators with Toeplitz

We consider the problems of preconditioning and iterative inversion of Toeplitz operators on sequences of complex numbers. We divide the preconditioned operator into two parts, of which one is compact and the other is regarded as a small perturbation. It will be shown that the Krylov subspace methods (such as GMRES) will perform initially at superlinear speed when applied to such preconditioned...