Skip to main content
SpringerLink
Log in

Band Matrices and Dichotomy

  • Chapter
Topics in Matrix and Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 50))

Abstract

The invertibility and Fredholm properties of block band matrices are studied herein. The results are stated in terms of dichotomy of some associated companion systems.

Supported by a Dr. Chaim Weizmann fellowship for scientific research.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Ben-Artzi and I. Gohberg, Inertia theorems for nonstationary discrete systems and dichotomy, Linear Algebra and Its Applications 120, 95–138 (1989).

    Article  Google Scholar 

  2. A. Ben-Artzi and I. Gohberg, Fredholm properties of band matrices and dichotomy, in Operator Theory: Advances and Applications, Vol. 32, Topics in Operator Theory, Constantin Apostol Memorial Issue, Birkhäuser Verlag, 1988.

    Google Scholar 

  3. Ch. V. Coffman and J.J. Schäffer, Dichotomies for linear difference equations, Math. Annalen 172, 139–166 (1967).

    Article  Google Scholar 

  4. I.C. Gohberg and I.A. Feldman, Convolution equations and projection methods for their solutions, Transl. Math. Monographs, Vol. 41, Amer. Math. Soc, Providence, R.I., 1974.

    Google Scholar 

  5. I. Gohberg and M.A. Kaashoek, Block Toeplitz operators with rational symbols, in Operator Theory: Advances and Applications, Vol. 35, Contribution to Operator Theory and Its Applications, pp. 385-440, Birkhäuser Verlag, 1988.

    Google Scholar 

  6. I. Gohberg, M.A. Kaashoek, and F. van Schagen, Non-compact integral operators with semi-separable kernels and their discrete analogous: inversion and Fredholm properties, Integral Equations and Operator Theory 7, 642–703 (1984).

    Article  Google Scholar 

  7. J.J. Schäffer, A note on systems of linear difference equations, Math. Annalen 177, 23–30 (1968).

    Article  Google Scholar 

  8. J.J. Schäffer, Linear difference equations: closedness of covariant sequences, Math. Annalen 187, 69–76 (1970).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, San Diego, La Jolla, California, 92093, USA

    Asher Ben-Artzi

  2. School of Mathematical Sciences, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Ramat-Aviv, 69989, Israel

    Israel Gohberg

Authors
  1. Asher Ben-Artzi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Israel Gohberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Econometric Institute, Erasmus University Rotterdam, Postbus 1738, 3000 DR, Rotterdam, The Netherlands

    H. Bart , I. Gohberg  & M. A. Kaashoek ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Basel AG

About this chapter

Cite this chapter

Ben-Artzi, A., Gohberg, I. (1991). Band Matrices and Dichotomy. In: Bart, H., Gohberg, I., Kaashoek, M.A. (eds) Topics in Matrix and Operator Theory. Operator Theory: Advances and Applications, vol 50. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5672-0_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5672-0_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5674-4

  • Online ISBN: 978-3-0348-5672-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation