Factorization of Continuous Self-Adjoint Matrix Functions on the Unit Circle

  • Kevin F. Clancey
  • Israel Gohberg
Part of the Operator Theory: Advances and Applications book series (OT, volume 3)

Abstract

In this chapter we describe the nature of the factors and the partial indices in factorizations of non-singular self-adjoint matrix functions on the unit circle.

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Notes

  1. 66.
    Section 1. The results in this section are mainly due to Šmul’yan [66].Google Scholar
  2. 26.
    See also Gohberg and Krein [26].Google Scholar
  3. 56.
    Section 2. The result in Theorem 2.1 appears in the paper of Nikolaicuk and Spitkovskii [56].Google Scholar

Copyright information

© Springer Basel AG 1981

Authors and Affiliations

  • Kevin F. Clancey
    • 1
  • Israel Gohberg
    • 2
  1. 1.Department of MathematicsThe University of GeorgiaAthensUSA
  2. 2.School of Mathematical SciencesTel-Aviv UniversityRamat-AvivIsrael

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