On Two-Sided Interpolation for Upper Triangular Matrices

Authors

Daniel Alpay, Chapman UniversityFollow
Vladimir Bolotnikov, The College of William and Mary

Document Type

Article

Publication Date

1999

Abstract

The space of upper triangular matrices with Hilbert-Schmidt norm can be viewed as a finite dimensional analogue of the Hardy space H2 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.

Comments

This article was originally published in Electronic Journal of Lienar Algebra, volume 6, in 1999/2000. DOI: 10.13001/1081-3810.1038

Recommended Citation

D. Alpay and V. Bolotnikov. On two-sided interpolation for upper triangular matrices. Electronic Journal of Linear Algebra (ELA), vol. 6 (1999/2000) pp 31-55.

Peer Reviewed

1

Copyright

International Linear Algebra Society (ILAS)