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

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Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	43-63
Nifer y tudalennau	21
Cyfnodolyn	Integral Equations and Operator Theory
Cyfrol	58
Rhif cyhoeddi	1
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s00020-007-1480-6
Statws	Cyhoeddwyd - 01 Mai 2007

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10.1007/s00020-007-1480-6

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title = "Characteristic Functions for Ergodic Tuples",

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.",

author = "Santanu Dey and Rolf Gohm",

note = "Gohm, Rolf; Dey, S., 'Characteristic function for ergodic tuples', Integral Equations and Operator Theory 58(1) pp.43-63 RAE2008",

year = "2007",

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doi = "10.1007/s00020-007-1480-6",

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Y1 - 2007/5/1

N2 - 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.

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.

U2 - 10.1007/s00020-007-1480-6

DO - 10.1007/s00020-007-1480-6

M3 - Article

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JO - Integral Equations and Operator Theory

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Characteristic Functions for Ergodic Tuples

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