Perturbation of Toeplitz operators and reflexivity
It was shown that the space of Toeplitz operators perturbated by finite rank operators is 2-hyperreflexive.
Projections onto the spaces of Toeplitz operators
Projections onto the spaces of all Toeplitz operators on the N-torus and the unit sphere are constructed. The constructions are also extended to generalized Toeplitz operators and applied to show hyperreflexivity results.