Skip to main content
SpringerLink
Log in

On the state diagram of a linear operator and its adjoint in locally convex spaces. II

  • Published:
Mathematische Annalen 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. Bourbaki, N.: Espaces vectoriels topologiques. Acta Sci. Industr.1955, 1229.

  2. Browder, F. E.: Functional analysis and partial differential equations I. Math. Ann.138, 55–79 (1959).

    Google Scholar 

  3. Goldberg, S.: Closed linear operators and associated continuous linear operators. Pacific J. Math.12, 183–186 (1962).

    Google Scholar 

  4. Köthe, G.: Topologische lineare Räume. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  5. Krishnamurthy, V.: Conjugate locally convex spaces. Math. Z.87, 334–344 (1965).

    Google Scholar 

  6. ——, andJ. Loustaunau: On the state diagram of a linear operator and its adjoint in locally convex spaces. I. Math. Ann.164, 176–206 (1966).

    Google Scholar 

  7. Taylor, A. E., andC. J. Halberg: General theorems about a bounded linear operator and its conjugate. J. Reine Angew. Math.198, 93–111 (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, New Mexico State University, University Park, New Mexico

    J. Loustaunau

Authors
  1. J. Loustaunau
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author wishes to thank ProfessorV. Krishnamurthy for his encouragement and valuable suggestions. This paper constitutes part of the author's dissertation accepted by the Graduate School of the University of Illinois in partial fulfillment of the requirements for the Ph. D. in Mathematics. This work was supported in part by Grant NSF GP 227.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loustaunau, J. On the state diagram of a linear operator and its adjoint in locally convex spaces. II. Math. Ann. 176, 121–128 (1968). https://doi.org/10.1007/BF02056980

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02056980

Keywords

Search

Navigation