DOIAbstract
AbstractLet J be an m×m signature matrix (i.e., J∗=J and J2=Im) and let D≔{z∈C:|z|<1}. Denote PJ,0(D) the set of all meromorphic m×m matrix-valued functions f in D which are holomorphic at 0 and take J-contractive values at all points of D at which f is holomorphic. Then it was proved in [B. Fritzsche, B. Kirstein, U. Raabe, On some interrelations between J-Potapov functions and J-Potapov sequences, OT Series, in press] that the Taylor coefficient sequences of the functions belonging to PJ,0(D) are exactly the infinite J-Potapov sequences of complex m×m matrices. The main goal of this paper is to investigate the inner structure of infinite J-Potapov sequences. It turns out that such sequences have a clear geometric structure. Let (Aj)j=0∞ b...
Add to ORKG