Abstract
One-sided tangential interpolation problems for functions with symmetries having values in the set of Hilbert-Schmidt operators and defined on the bidisk are studied. General solutions are described as well as solutions with the minimal scalar and operator-valued norms. Two types of symmetries are considered: (a) componentwise symmetries that operate separately on each component of a general point in the bidisk; (b) interchange symmetry that interchanges the two components of a general point in the bidisk. Applications are made to multipoint tangential interpolation problems of special form.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Reurings, M., Rodman, L. (2005). One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk. In: Alpay, D., Vinnikov, V. (eds) Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations. Operator Theory: Advances and Applications, vol 157. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7303-2_10
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DOI: https://doi.org/10.1007/3-7643-7303-2_10
Publisher Name: Birkhäuser Basel
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