Skip to main content Accessibility help
×
Home

Operators with Compact Self-Commutator

  • Carl Pearcy (a1) and Norberto Salinas (a1)

Extract

Let be a fixed separable, infinite dimensional complex Hilbert space, and let () denote the algebra of all (bounded, linear) operators on . The ideal of all compact operators on will be denoted by and the canonical quotient map from () onto the Calkin algebra ()/ will be denoted by π.

Some open problems in the theory of extensions of C*-algebras (cf. [1]) have recently motivated an increasing interest in the class of all operators in () whose self-commuta tor is compact.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Operators with Compact Self-Commutator
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Operators with Compact Self-Commutator
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Operators with Compact Self-Commutator
      Available formats
      ×

Copyright

References

Hide All
1. Douglas, R. G., Banach algebras techniques in the theory of Toeplitz operators, lectures given in the CBMS Regional Conference at the University of Georgia, June 12-16, 1972.
2. Douglas, R. G. and C. Pearcy, A note on quasitriangular operators, Duke Math. J. 37 (1970), 177188.
3. Halmos, P. R., Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887933.
4. Halmos, P. R., Continuous functions of Hermitian operators, Proc. Amer. Math. Soc. 81 (1972), 130132.
5. Lancaster, John S., Lifting from the Calkin Algebra, Ph.D. thesis, Indiana University, 1972.
6. Sikonia, W., The von Neumann converse of WeyVs Theorem, Indiana Univ. Math. J. 21 (1971), 121123.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Operators with Compact Self-Commutator

  • Carl Pearcy (a1) and Norberto Salinas (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed