Schur Analysis Over the Unit Spectral Ball

Authors

Daniel Alpay, Chapman UniversityFollow
Ilwoo Choo, St. Ambrose UniversityFollow

Document Type

Article

Publication Date

6-11-2024

Abstract

We begin a study of Schur analysis when the variable is now a matrix rather than a complex number. We define the corresponding Hardy space, Schur multipliers and their realizations, and interpolation. Possible applications of the present work include matrices of quaternions, matrices of split quaternions, and other algebras of hypercomplex numbers.

Comments

This article was originally published in Linear Algebra and Its Applications, volume 698, in 2024. https://doi.org/10.1016/j.laa.2024.05.023

Recommended Citation

D. Alpay, I. Cho, Schur analysis over the unit spectral ball, Linear Algebra Appl. 698 (2024) 344-405. https://doi.org/10.1016/j.laa.2024.05.023

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License