On bitangential interpolation in the time-varying setting for Hilbert-Schmidt operators: The continuous time case

[摘要] The Hilbert space of lower triangular Hilbert-Schmidt operators on the real line is a natural analogue of the Hardy space of a half-plane, where the complex numbers are now replaced by matrix-valued functions. One can associate with a bounded operator its values at a matrix-valued function [see Ball et al., Oper. Theory Adv. Appl. 56 (1992), 52-89], and this allows [see Ball et al., Integral Equations Operator Theory 20 (1994), 1-43] to define and solve the analogue of the two-sided Nudelman interpolation problem for bounded operators (which form an analogue of H-infinity(C+)). In this paper we consider the two-sided interpolation problem with a Hilbert-schmidt norm constraint (rather than the more common operator-norm constraint) on the interpolant. (C) 1998 Academic Press.

[发布日期] 1998-12-15