Spectral radius of slant Hankel operators

Abstract

A slant Hankel operator Sφ with φ in L∞(∂D) is an operator on L2(∂D) whose representing matrix M = (αij) is given by αij= hφ,z−2i−ji where h,i is the usual inner product on L2(∂D). In this paper, the bounds of spectral radius of the operator are determined. Also the point spectrum of the adjoint of the operator is identified.