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Transfer Functions for Pairs of Wandering Subspaces

  • Rolf GohmEmail author
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 221)

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.Th en 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

Row isometry multi-Toeplitz multi-analytic wandering subspace transfer function characteristic function noncommutative Markov chain. 

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Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Institute of Mathematics and PhysicsAberystwyth UniversityAberystwythUK

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