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On two-sided interpolation for upper triangular Hilbert-Schmidt operators

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Abstract

Motivated by the theory of nonstationary linear systems a number of problems in the theory of analytic functions have analogues in the setting of upper-triangular operators, where the complex variable is replaced by a diagonal operator. In this paper we focus on the analogue of interpolation in the Hardy space H2 and study a two-sided Nudelman type interpolation problem in the framework of upper-triangular Hilbert-Schmidt operators.

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Alpay, D., Bolotnikov, V. On two-sided interpolation for upper triangular Hilbert-Schmidt operators. Integr equ oper theory 31, 259–286 (1998). https://doi.org/10.1007/BF01195119

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