Skip to main content
SpringerLink
Log in

An inequality for the area of hyponormal spectra

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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. Andô, T.: On hyponormal operators. Proc. Amer. Math. Soc.14, 290–291 (1963).

    Google Scholar 

  2. Berberian, S. K.: A note on hyponormal operators, Pacific J. Math.12, 1171–1175 (1962).

    Google Scholar 

  3. Clancey, K.: Spectral properties of semi-normal operators. Thesis, Purdue University, January 1969.

  4. —: Putnam's inequality for the annulus. Bull. Amer. Math. Soc.76, 93–95 (1970).

    Google Scholar 

  5. Clancey, K.: Seminormal operators with compact self-commutators (to appear).

  6. Kato, T.: Smooth operators and commutators. Studia Math.31, 535–546 (1968).

    Google Scholar 

  7. Putnam, C. R.: On the spectra of semi-normal operators. Trans. Amer. Math. Soc.119 509–523 (1965).

    Google Scholar 

  8. —: Commutation properties of Hilbert space operators and related topics. Ergebnisse der Math. Bd. 36. Berlin-Heidelberg-New York: Springer 1967.

    Google Scholar 

  9. —: Hyponormal operators and low density spectra. Math. Z.106, 167–169 (1968).

    Google Scholar 

  10. —: The spectra of semi-normal singular integral operators. Canadian J. Math.22, 134–150 (1970).

    Google Scholar 

  11. Stampfli, J. G.: Hyponormal operators and spectral density. Trans. Amer. Math. Soc.117, 469–476 (1965).

    Google Scholar 

  12. —: Analytic extensions and spectral localization. J. Math. Mech.16, 287–296 (1966).

    Google Scholar 

  13. —: Minimal range theorems for operators with thin spectra. Pacific J Math.23, 601–612 (1967).

    Google Scholar 

  14. —: A local spectral theory for operators. J. Functional Analysis.4, 1–10 (1969).

    Google Scholar 

  15. —: A local spectral theory for operators, II. Bull. Amer. Math. Soc.75, 803–806 (1969).

    Google Scholar 

  16. Sz. Nagy, B.: Spektraldarstellung linearer Transformationen des Hilbertschen Raumes. Ergebnisse der Math. Bd. 39. Berlin-Heidelberg-New York: Springer 1967.

    Google Scholar 

  17. Toshino, T.: On the spectrum of a hyponormal operator. Tôhoku Math. J.17, 305–309 (1965).

    Google Scholar 

  18. —: Spectral resolution of a hyponormal operator with the spectrum on a curve. Tôhoku Math. J.19, 86–97 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Division of Mathematical Sciences, Purdue University, 47907, Lafayette, Indiana, USA

    C. R. Putnam

Authors
  1. C. R. Putnam
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by a National Science Foundation research grant.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Putnam, C.R. An inequality for the area of hyponormal spectra. Math Z 116, 323–330 (1970). https://doi.org/10.1007/BF01111839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01111839

Search

Navigation