Skip to main content
Log in

On the partial multiplicities of a product of two matrix polynomials

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Gohberg, I. and Kaashoek, M.A.: Unsolved problems in matrix and operator theory, II. Partial multiplicities for products, to appear in Integral Equations and Operator Theory.

  2. Gohberg, I., Lancaster, P. and Rodman, L.: Spectral analysis of matrix polynomials, I. Canonical forms and divisors, Lin. Alg. and Appl. 20 (1978), 1–44.

    Google Scholar 

  3. Gohberg, I., Lancaster, P. and Rodman, L.: Spectral analysis of matrix polynomials, II. The resolvent form and spectral divisors, Lin. Alg. and Appl. 21 (1978), 65–88.

    Google Scholar 

  4. Gohberg, I. and Rodman, L.: On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials, Israel J. Math. 30 (1978), 133–151.

    Google Scholar 

  5. Gohberg, I. and Rodman, L.: On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data, Israel J. Math. 30 (1978), 321–334.

    Google Scholar 

  6. Gohberg, I. and Sigal, E.I.: An operator generalization of the logarithmic residue theorem and the theorem of Rouche, Math. U.S.S.R. Sbornik 13 (1971), 603–625.

    Google Scholar 

  7. Rodman, L.: Spectral theory of analytic matrix functions, Ph.D. thesis, Department of Mathematics, Tel-Aviv University, June 1978.

  8. Sigal, E.I.: Partial multiplicities of a product of operator functions, Mat. Issled. 8(3) (1973), 65–79 (Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rodman, L., Schaps, M. On the partial multiplicities of a product of two matrix polynomials. Integr equ oper theory 2, 565–599 (1979). https://doi.org/10.1007/BF01691077

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01691077

Keywords

Navigation