Journal of Operator Theory

Volume 54, Issue 2, Fall 2005 pp. 269-290.

An intertwining property for positive Toeplitz operators

Authors: A. Biswas (1), C. Foias (2), and A.E. Frazho (3)
Author institution: (1) Department of Mathematics, 9201 University City Blvd, UNC-Charlotte, Charlotte, NC 28223, USA, (2) Department of Mathematics, Texas A and M University, College Station, TX 77843, USA, (3) School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907--1282, USA

Summary: We obtain a necessary and sufficient condition for the existence of an operator $V$ satisfying the operator equation $VT_{\Gamma}=T_{\Gamma}S.$ Here $T_{\Gamma}$ is a positive Toeplitz operator and $S$ is the canonical unilateral shift acting on the Hardy space $H^2(\sU)$.

Keywords: Positive Toeplitz operator, factorization, outer spectral factor.

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