Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball. (Q1406297)

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scientific article; zbMATH DE number 1978119
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Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball.
scientific article; zbMATH DE number 1978119

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    Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball. (English)
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    9 September 2003
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    The authors study finite-dimensional backward shift invariant Hilbert spaces contractively included in the Arveson space. To achieve the purpose, they redefine the backward shift operators in terms of power series expansions. It is a nice piece of work.
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    backward shift operator
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    de Branges Rovnyak spaces
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    Hardy space
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    invariant Hilbert space
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    Arveson space
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    quaternions
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    complementarity theory
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