Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras

Leonid Helmer

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Let (Formula presented.) be a non commutative Hardy algebra, associated with a (Formula presented.) -correspondence E. In this paper we construct factorizations of inner-outer type of the elements of (Formula presented.) represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of (Formula presented.). Our results also generalize some results that were obtained by several authors in some special cases.

Original languageEnglish
Pages (from-to)555-575
Number of pages21
JournalIntegral Equations and Operator Theory
Volume84
Issue number4
DOIs
StatePublished - 1 Apr 2016

Keywords

  • Hardy algebras
  • Inner-outer factorization
  • Representations
  • W-correspondence

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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