Skip to main content
Log in

Unsolved problems in matrix and operator theory, II. partial multiplicities for products

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

Abstract

The purpose of this note is to pose a problem about the partial multiplicities of a product of two matrix polynomials given those of its factors.

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. Bart, H., Gohberg, I., Kaashoek, M.A., Van der Mee, C.: Realization and linearization of operator functions. in preperation.

  2. Gohberg, I., Kaashoek, M.A., Lay, D.C.: Equivalence, linearization, and decomposition of holomorphic operator functions. J. Funct. Analysis 28 (1978), 102–144.

    Google Scholar 

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

    Google Scholar 

  4. Gohberg, I. 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. Rodman, L.: Spectral theory of analytic matrix functions. Thesis Department of Mathematics, Tel-Aviv University, June 1978.

  6. Sigal, E.I.: Partial multiplicities of a product of operator functions. Mat. Issled 8 (30) (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

Gohberg, I., Kaashoek, M.A. Unsolved problems in matrix and operator theory, II. partial multiplicities for products. Integr equ oper theory 2, 116–120 (1979). https://doi.org/10.1007/BF01729363

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01729363

Keywords

Navigation