Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions | Zendy

Boiko S. S. | Zendy; Dubovoy V. K. | Zendy; Fritzsche Bernd | Zendy; Kirstein Bernd | Zendy

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Shift operators contained in contractions and pseudocontinuable matrixvalued Schur functions

Author(s) -

Boiko S. S.,

Dubovoy V. K.,

Fritzsche Bernd,

Kirstein Bernd

Publication year - 2005

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310272

Subject(s) - mathematics , unit disk , operator (biology) , schur's theorem , pure mathematics , shift operator , function (biology) , unit (ring theory) , combinatorics , compact operator , classical orthogonal polynomials , biochemistry , chemistry , gegenbauer polynomials , repressor , evolutionary biology , biology , computer science , transcription factor , extension (predicate logic) , orthogonal polynomials , gene , programming language , mathematics education

We show that the pseudocontinuability of a matrix‐valued Schur function θ in the unit disk is completely determined by the properties of the maximal shift and maximal coshift contained in a corresponding contractive operator T which has the characteristic operator function θ.

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