Skip to main content
SpringerLink
Log in

Common multiples of operator polynomials with analytic coefficients

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

This paper describes the main properties of analytic common monic left multiples of a system of monic operator polynomials whose coefficients depend analytically on ε.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bart H.,Kaashoek M.A.,Lay D.C.: Relative Inverses of Meromorphic Operator Functions and Associated Holomorphic Projection Functions. Math. Ann. 218 (1975) 199–210

    Google Scholar 

  2. Gohberg I.,Kaashoek M.A., Rodman L.;Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix.I The finite dimensional case. To appear

  3. Gohberg I.,Kaashoek M.A.,Rodman L.: Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix.II The infinite dimensional case. J. Funct. Anal. To appear

  4. Gohberg I.,Lancaster P.,Rodman L.;Spectral analysis of matrix polynomials.I Canonical forms and divisors. J. Lin. Alg. Applic.To appear

  5. Gohberg I.,Lancaster P.,Rodman L.;Representations and divisibility of operator polynomials. Dept. of Mathematics and Statistics,University of Calgary, Res. Paper 341, (1977)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel

    I. Gohberg

  2. Wiskundig Seminarium der Vrije Universiteit, De Boelelaan, 1081, Amsterdam-11, The Netherlands

    M. A. Kaashoek & F. van Schagen

Authors
  1. I. Gohberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Kaashoek
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. van Schagen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This paper was written while the first author was a visiting professor of the Vrije Universiteit at Amsterdam

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gohberg, I., Kaashoek, M.A. & van Schagen, F. Common multiples of operator polynomials with analytic coefficients. Manuscripta Math 25, 279–314 (1978). https://doi.org/10.1007/BF01168725

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168725

Keywords

Search

Navigation