Skip to main content

On Classification of Invariant Subspaces of a Linear Operator

  • Chapter
The Gohberg Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 40/41))

  • 457 Accesses

Abstract

The problem of the classification of invariant subspaces of a linear operator is shown to be at least as complex as the problem of the classification of arbitrary pairs of square matrices up to simultaneous similarity.

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

Access this chapter

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. B. Reichstein, On the problem of classification of invariant subspaces of a linear operator, Uspekhi Matemat. Nauk, XXXII, 1(193), 1977, p. 201–202.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Additional information

Dedicated to Professor Gohberg on the occasion of his sixtieth birthday.

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Reichstein, B. (1989). On Classification of Invariant Subspaces of a Linear Operator. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-9144-8_15

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9924-6

  • Online ISBN: 978-3-0348-9144-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics