Alpay, Daniel; Bolotnikov, Vladimir On two-sided interpolation for upper triangular matrices. (English) Zbl 1015.47009 Electron. J. Linear Algebra 6, 31-55 (2000). Summary: The space of upper triangular matrices with Hilbert–Schmidt norm can be viewed as a finite dimensional analogue of the Hardy space \(\mathbf H_2\) of the unit disk when one introduces the adequate notion of “point” evaluation. A bitangential interpolation problem in this setting is studied. The description of all solutions in terms of the Beurling-Lax representation is given. MSC: 47A57 Linear operator methods in interpolation, moment and extension problems 47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. Keywords:space of upper triangular matrices; Hilbert-Schmidt norm; bitangential interpolation problem; Beurling-Lax representation PDFBibTeX XMLCite \textit{D. Alpay} and \textit{V. Bolotnikov}, Electron. J. Linear Algebra 6, 31--55 (2000; Zbl 1015.47009) Full Text: DOI EuDML EMIS