GENERALIZED TOEPLITZ FORMS AND INTERPOLATION COLLIGATIONS

In a recent paper, V. KATSNELSON related the Cotlar-Sadosky theory of Generalized Toeplitz Forms in the space P of trigonometric polynomials to the Katsnelson-Kheifets-Yuditskii interpolation theory. In this pa per it is pointed out that the Generalized Toeplitz, Forms in P give r ise to almost commuting pairs of operators which in turn induce Potapo v colligations in the same space P and that this leads to a new settin g for the Generalized Toeplitz Forms.