Transfer Functions for Pairs of Wandering Subspaces

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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.
Original languageEnglish
Title of host publicationSpectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
Subtitle of host publication21st International Workshop on Operator Theory and Applications, Berlin, July 2010
EditorsWolfgang Arendt, Joseph Ball, Jussi Behrndt, Karl-Heinz Foerster, Volker Mehrmann, Carsten Trunk
Place of PublicationBasel
PublisherSpringer Nature
Pages385-398
Number of pages14
Volume221
ISBN (Electronic)978-3-0348-0297-0
ISBN (Print)978-3-0348-0296-3
DOIs
Publication statusPublished - 07 Nov 2012

Publication series

NameOperator Theory: Advances and Applications
Volume221

Keywords

  • row isometry
  • multi-Toeplitz
  • multi-analytic
  • wandering subspace
  • transfer function
  • characteristic function
  • noncommutative Markov chain

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