Skip to main content

Some problems and results on reflexive algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 1132)

Keywords

  • Tensor Product
  • Operator Algebra
  • Hochschild Cohomology
  • Subspace Lattice
  • Nest Algebra

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.T. ANDERSEN, Compact perturbations of reflexive algebras, J. Funct. Anal. 38 (1980) 366–400.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. N.T. ANDERSEN, Similarity of continuous nests, Bull. London Math. Soc. 15 (1983) 131–132.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. W.B. ARVESON, Operator algebras and invariant subspaces, Ann. of Math. 100 (1974) 433–532.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. W.B. ARVESON, Perturbation theory for groups and lattices, J. Funct. Anal. 53 (1983) 22–73.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J.A. ERDOS, Nonselfadjoint operator algebras, Proc. Roy. Irish Acad. 81 (1981) 127–145.

    MathSciNet  MATH  Google Scholar 

  6. F.L. GILFEATHER, A.L. HOPENWASSER and D.R. LARSON, Reflexive algebras with finite width lattices: tensor products, cohomology, compact perturbations, J. Funct. Anal. (to appear).

    Google Scholar 

  7. K.J. HARRISON, Reflexivity and tensor products for operator algebras and subspace lattices, J. London Math. Soc. (to appear).

    Google Scholar 

  8. A.L. HOPENWASSER, Tensor products of reflexive subspace lattices, (to appear).

    Google Scholar 

  9. A.L. HOPENWASSER and J. KRAUS, Tensor products of reflexive algebras II, J. London Math. Soc. 28 (1983) 359–362.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. A.L. HOPENWASSER, C. LAURIE and R.L. MOORE, Reflexive algebras with completely distributive subspace lattices, J. Operator Theory (to appear).

    Google Scholar 

  11. G.J. KNOWLES and R. SAEKS, On the structure of invertible operators in a nest-subalgebra of a von Neumann algebra, Integral Equations Operator Theory (to appear).

    Google Scholar 

  12. J. KRAUS, W*-dynamical systems and reflexive operator algebras, J. Operator Theory 8 (1982) 181–194.

    MathSciNet  MATH  Google Scholar 

  13. J. KRAUS, The slice map problem for σ-weakly closed subspaces of von Neumann algebras, Trans. Amer. Math. Soc. 279 (1983) 357–376.

    MathSciNet  MATH  Google Scholar 

  14. J. KRAUS, Tensor products of reflexive algebras, J. London Math. Soc. 28 (1983) 350–358.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. E.C. LANCE, Cohomology and perturbations of nest algebras, Proc. London Math. Soc. 43 (1981) 334–356.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. D.R. LARSON, A solution to a problem of J.R. Ringrose, Bull. Amer. Math. Soc. 7 (1982) 243–246.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. D.R. LARSON, Nest algebras and similarity transformations, Ann. of Math. (to appear).

    Google Scholar 

  18. S.C. POWER, On ideals of nest-subalgebras of C*-algebras, Proc. London Math. Soc. (to appear).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verleg

About this paper

Cite this paper

Lance, E.C. (1985). Some problems and results on reflexive algebras. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074892

Download citation

  • DOI: https://doi.org/10.1007/BFb0074892

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15643-7

  • Online ISBN: 978-3-540-39514-0

  • eBook Packages: Springer Book Archive