Geodesic
On two-sided interpolation for upper triangular matrices
The electronic journal of linear algebra, Tome 6 (1999-2000), pp. 31-55.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The space of upper triangular matrices with Hilbert-Schmidt norm can be viewed as a finite dimensional analogue of the Hardy space 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 solution in terms of Beurling-Lax representation is given.
Classification : 47A57, 47A48
Keywords: interpolation, matrices 
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     author = {Alpay, Daniel and Bolotnikov, Vladimir},
     title = {On two-sided interpolation for upper triangular matrices},
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Alpay, Daniel; Bolotnikov, Vladimir. On two-sided interpolation for upper triangular matrices. The electronic journal of linear algebra, Tome 6 (1999-2000), pp. 31-55. http://geodesic.mathdoc.fr/item/ELA_1999-2000__6__a3/