Characteristic Functions for Ergodic Tuples

Santanu Dey; Rolf Gohm

doi:10.1007/s00020-007-1480-6

Characteristic Functions for Ergodic Tuples

Santanu Dey, Rolf Gohm

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

174 Downloads (Pure)

Abstract

Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace for the adjoints. This extends a definition given by G. Popescu. We prove that our characteristic function is a complete unitary invariant for such tuples and show how it can be computed.

Original language	English
Pages (from-to)	43-63
Number of pages	21
Journal	Integral Equations and Operator Theory
Volume	58
Issue number	1
DOIs	https://doi.org/10.1007/s00020-007-1480-6
Publication status	Published - 01 May 2007

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abstract = "Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace for the adjoints. This extends a definition given by G. Popescu. We prove that our characteristic function is a complete unitary invariant for such tuples and show how it can be computed.",

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AB - Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace for the adjoints. This extends a definition given by G. Popescu. We prove that our characteristic function is a complete unitary invariant for such tuples and show how it can be computed.

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Characteristic Functions for Ergodic Tuples

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