Essentially generalized λ-slant Toeplitz operators

G. Datt, N. Ohri

We introduce the notion of an essentially generalized λ-slant Toeplitz operator on the Hilbert space L2 for a general complex number λ, via the operator equation λMz X - XMzk = K, K being a compact operator on L2 and k(≥ 2) being an integer. We attempt to investigate some of the properties of this operator and also study its counterpart on H2. 

Tbilisi Mathematical Journal, Vol. 10(4) (2017), pp. 63-72