Transfer Functions for Pairs of Wandering Subspaces
Functional Analysis
2012-06-05 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.1102.5519,
title = {Transfer Functions for Pairs of Wandering Subspaces},
author = {Rolf Gohm},
journal= {arXiv preprint arXiv:1102.5519},
year = {2012}
}
Comments
In v2: A few typos corrected. Minor changes, in particular Theorem 1.2 improved, Corollary 1.4 added, Section 2 improved with additional comments. To appear in the Proceedings of IWOTA 2010