Abstract:
To a pair of subspaces wandering with respect to a row isometry we associate a transfer function which in general is multi-Toeplitz and in interesting special cases is multi-analytic. Then we describe in an expository way how characteristic functions from operator theory as well as transfer functions from noncommutative Markov chains fit into this scheme.
Description:
Gohm, R. (2012)., Transfer functions for pairs of wandering subspaces, In: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 221, pp.385-398 21st International Workshop on Operator Theory and Applications, Berlin, July 2010. Arendt, W., Ball, J. A., Behrndt, J., Forster, K-H., Mehrmann, V., Trunk, C. (eds.)
