Model Subspaces
Vladimir Dybin, Sergei M. Grudsky · Birkhäuser Basel eBooks · 2002
In this chapter we study Toeplitz operators of the form T(h±1), where h ∈ L ∈ + (г) ∩ GL∈(г). Special attention will be devoted to the subspaces ker T(h−1) in terms of which the kernels of the operators T(a) with symbols a ∈ fact (∈, p, ϱ) were described in Theorem 2.6. It is in this chapter that we establish a connection between model subspaces, which are standard objects of nonclassical spectral theory (see Remark 2.1), and Toeplitz operators with infinite index.