A time-variant norm constrained interpolation problem arising from relaxed commutant lifting

Details A time-variant norm constrained interpolation problem arising from relaxed commutant lifting A time-variant norm constrained interpolation problem arising from relaxed commutant lifting

2008-09-18

arxiv.org/abs/0809.3138v1

Mathematics

Functional Analysis

25 pages

Scientific paper

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].

Affiliated with

Also associated with

No associations

Rating

A time-variant norm constrained interpolation problem arising from relaxed commutant lifting does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A time-variant norm constrained interpolation problem arising from relaxed commutant lifting, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A time-variant norm constrained interpolation problem arising from relaxed commutant lifting will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281369