Skip to main content
SpringerLink
Log in

The algebra of bounded additive operators on a complex Hilbert space

  • Note Brevi
  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

It is proved that the algebra of bounded additive operators on a complex Hilbert space is the smallest algebra (a vector space in which a ring structure is defined on the set of vectors) containing both linear and antilinear bounded operators on the complex Hilbert space. It is proved further that this algebra is normed and involutive.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. C. Itzykson andJ.-B. Zuber:Quantum Field Theory (McGraw-Hill, Singapore, 1985).

    MATH  Google Scholar 

  2. J. Pian andC. S. Sharma:Int. J. Theor. Phys.,22, 107 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Pian andC. S. Sharma:Nuovo Cimento B,94, 193 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  4. C. S. Sharma: submitted for publication.

  5. L. P. Horwitz andL. C. Biedenharn:Ann. Phys. (N.Y.),157, 432 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. S. L. Adler:Commun. Math. Phys.,104, 611 (1986).

    Article  ADS  MATH  Google Scholar 

  7. C. S. Sharma andT. J. Coulson:J. Math. Phys. (N.Y.),28, 1941 (1987).

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Birkbeck College, University of London, 43 Gordon Square, WC1H OPD, London

    C. S. Sharma

Authors
  1. C. S. Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, C.S. The algebra of bounded additive operators on a complex Hilbert space. Nuov Cim B 100, 291–295 (1987). https://doi.org/10.1007/BF02722899

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02722899

Keywords

Search

Navigation