The band method and generalized Carathéodory-Toeplitz interpolation at operator points

M. A. Kaashoek*, C. G. Zeinstra

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    10 Citations (Scopus)

    Abstract

    A generalization of the band method is presented. In the new set up there are two semi-band structures, a right one and a left one, and the two are coupled. Moreover the role of the band extension in the classical version is taken over by a special positive real part extension. It is shown that with minor modifications the main results of the band method extend to this more general set up. As an application a generalization of the Carathéodory-Toeplitz interpolation problem for operator functions with operator arguments is solved.

    Original languageEnglish
    Pages (from-to)175-210
    Number of pages36
    JournalIntegral equations and operator theory
    Volume33
    Issue number2
    DOIs
    Publication statusPublished - Jun 1999

    Fingerprint Dive into the research topics of 'The band method and generalized Carathéodory-Toeplitz interpolation at operator points'. Together they form a unique fingerprint.

  • Cite this