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Transfer Functions for Pairs of Wandering Subspaces

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Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

Part of the book series: Operator Theory: Advances and Applications ((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.

Mathematics Subject Classification (2000). Primary 47A13; Secondary 46L53.

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Authors and Affiliations

  1. Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, SY23 3BZ, UK

    Rolf Gohm

Authors
  1. Rolf Gohm
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Correspondence to Rolf Gohm .

Editor information

Editors and Affiliations

  1. , Abt. Mathematik V, Universität Ulm, Ulm, 89069, Germany

    Wolfgang Arendt

  2. Department of Mathematics, Virginia Polytechnic Institute, McBryde Hall 524, Blacksburg, 24061, Virginia, USA

    Joseph A. Ball

  3. Institut fĂĽr Mathematik, AG Modellierung, Numerik und, TU Berlin, StraĂźe des 17 Juni 136, Berlin, 10623, Berlin, Germany

    Jussi Behrndt

  4. Fak. II Mathematik & Naturwissenschaften, Institut fĂĽr Mathematik, TU Berlin, StraĂźe des 17. Juni 136, Berlin, 10623, Berlin, Germany

    Karl-Heinz Förster

  5. Fak. II Mathematik & Naturwissenschaften, Institut fĂĽr Mathematik, TU Berlin, StraĂźe des 17. Juni 136, Berlin, 10623, Berlin, Germany

    Volker Mehrmann

  6. , Institut fĂĽr Mathematik, TU Ilmenau, Weimarer Str. 25, Ilmenau, 98693, ThĂĽringen, Germany

    Carsten Trunk

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Gohm, R. (2012). Transfer Functions for Pairs of Wandering Subspaces. In: Arendt, W., Ball, J., Behrndt, J., Förster, KH., Mehrmann, V., Trunk, C. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Operator Theory: Advances and Applications, vol 221. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0297-0_20

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