Abstract
This paper is a sequel to [DF]. It includes a number of applications and explicit formulas which are developed under the extra assumption that the Pick operator P which is associated with the basic interpolation problem under study is strictly positive (i.e., P ≥ εI for some ε > 0) rather than positive semidefinite. In order to both minimize the length and simplify the referencing, we shall refer to the six sections of [DF] as if they were an integral part of this paper and shall begin this paper with Section 7. The applications include a discussion of chain scattering operators, a maximum entropy problem and a bitangential interpolation problem in the class of upper triangular operators with strictly positive real part.
The author wishes to express his thanks to Renee and Jay Weiss for endowing the chair which supports his research.
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Dym, H., Freydin, B. (1997). Bitangential interpolation for triangular operators when the Pick operator is strictly positive. In: Dym, H., Katsnelson, V., Fritzsche, B., Kirstein, B. (eds) Topics in Interpolation Theory. Operator Theory Advances and Applications, vol 95. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8944-5_7
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