Journal of Operator Theory

Volume 48, Issue 1, Summer 2002 pp. 83-93.

An inverse spectral problem for Hankel operators

Authors: R.A. Martinez-Avendano (1), and S.R. Treil (2)
Author institution: (1) Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
(2) Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA

Summary: We prove that given any compact subset of the complex plane containing zero, there exists a Hankel operator having this set as its spectrum.

Keywords: Hankel operators, spectrum

Contents Full-Text PDF