Skip to main content

Annihilators of Operator Algebras

  • Chapter
Invariant Subspaces and Other Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 6))

Abstract

The structure of the predual of an ultraweakly closed operator algebra can be very revealing of internal structural properties of the algebra. This relationship has been most important in the theory of von Neumann algebras, and has recently become significant in the study of more general ultraweakly closed algebras.

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. Arveson, W.: Interpolation problems in nest algebras, J. Functional Analysis 20 (1975), 208–233.

    Article  Google Scholar 

  2. Brown, S.; Chevreau, B.; Pearcy, C.: Contractions with rich spectrum have invariant subspaces, J. Operator Theory 1 (1979), 123–136.

    Google Scholar 

  3. Christensen, E.: Extensions of derivations, J. Functional Analysis 27 (1978), 234–247.

    Article  Google Scholar 

  4. Christensen, E.: Extensions of derivations. II, preprint.

    Google Scholar 

  5. Davidson, K.: Commutative subspace lattices, Indiana University Math. J. 27 (1978), 479–490.

    Article  Google Scholar 

  6. Gilfeather, F.; Larson, D.: Nest-subalgebras of von Neumann algebras: commutants modulo compacts and distance estimates, J. Operator Theory 7 (1982), 279–302.

    Google Scholar 

  7. Lance, E.C.: Cohomology and perturbations of nest algebras, Proc. London Math. Soc. (3) 43 (1981), 334–356.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer Basel AG

About this chapter

Cite this chapter

Larson, D.R. (1982). Annihilators of Operator Algebras. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5445-0_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5447-4

  • Online ISBN: 978-3-0348-5445-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics