Noncommutative Inner–Outer Factorizations

Michael T. Jury (), Robert T. W. Martin () and E. Shamovich ()
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Michael T. Jury: University of Florida, Department of Mathematics
Robert T. W. Martin: University of Manitoba, Department of Mathematics
E. Shamovich: Ben-Gurion University of the Negev, Department of Mathematics

Chapter 84 in Operator Theory, 2026, pp 2607-2642 from Springer

Abstract: Abstract The notion of the “inner-outer factorization” plays an important role in the function theory of the unit disk, and the closely related theory of the unilateral shift operator in Hilbert space. We survey some recent developments in the extension of this theory to the setting of noncommutative function theory, and the associated operator theory of row isometries (systems of shifts with orthogonal ranges).

Keywords: Noncommutative Hardy space; Fock space; Noncommutative analysis; Blaschke-singular-outer factorization; Inner-outer factorization (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_87

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DOI: 10.1007/978-3-032-16356-1_87

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