A time-variant norm constrained interpolation problem arising from relaxed commutant lifting
Functional Analysis
2020-03-02 v1
Abstract
A time-variant analogue of an interpolation problem equivalent to the relaxed commutant lifting problem is introduced and studied. In a somewhat less general form the problem already appears in the analysis of the set of all solutions to the three chain completion problem. The interpolants are upper triangular operator matrices of which the columns induce contractive operators. The set of all solutions of the problem is described explicitly. The results presented are time-variant analogues of the main theorems in [A.E. Frazho, S. ter Horst, and M.A. Kaashoek, All solutions to the relaxed commutant lifting problem, Acta Sci. Math. (Szeged) 72 (2006), 299--318].
Keywords
Cite
@article{arxiv.0809.3138,
title = {A time-variant norm constrained interpolation problem arising from relaxed commutant lifting},
author = {A. E. Frazho and S. ter Horst and M. A. Kaashoek},
journal= {arXiv preprint arXiv:0809.3138},
year = {2020}
}
Comments
25 pages