Skip to main content
SpringerLink
Log in

Infinite-dimensional Krasnosel'skii-type criteria for cones

  • Published:
Archiv der Mathematik 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. M. A. Krasnosel'skii, Sur un critère pour qu'un domaine soit étoile. (Russian, French summary). Mat. Sb. (N.S.)19, 309–310 (1946).

    Google Scholar 

  2. M. Breen, Clear visibility, starshaped sets, and finitely starlike sets. J. Geom.19, 183–196 (1982).

    Google Scholar 

  3. M. Breen, Points of local nonconvexity, clear visibility, and starshaped sets in ℝd. J. Geom.21, 42–52 (1983).

    Google Scholar 

  4. M. Breen, Krasnosel'skii-type theorems. Ann. New York Acad. Sci.440, 142–146 (1985).

    Google Scholar 

  5. J. Cel, Krasnosel'skii-type characterizations for a cone. Geom. Dedicata39, 139–153 (1991).

    Google Scholar 

  6. J. Cel, Intersection formulae for the kernel of a cone. Geom. Dedicata39, 363–371 (1991).

    Google Scholar 

  7. J. Cel, Determining dimension of the kernel of a cone. Monatsh. Math.114, 83–88 (1992).

    Google Scholar 

  8. J. Cel, Simple proof of a criterion for cones in ℝ3. Arch. Math.60, 494–496 (1993).

    Google Scholar 

  9. L. Danzer, B. Grünbaum andV. L. Klee, Jr., Helly's theorem and its relatives. Proc. Sympos. Pure Math.7, 101–180 (1963).

    Google Scholar 

  10. V. L. Klee, Jr., The structure of semispaces. Math. Scand.4, 54–64 (1956).

    Google Scholar 

  11. V. L. Klee, Jr., Infinite-dimensional intersection theorems. Proc. Sympos. Pure Math.7, 349–360 (1963).

    Google Scholar 

  12. F. A. Toranzos andA. F. Cunto, Clear visibility strikes again. Arch. Math.58, 307–312 (1992).

    Google Scholar 

  13. F. A. Valentine, Local convexity andL n sets. Proc. Amer. Math. Soc.16, 1305–1310 (1965).

    Google Scholar 

  14. J. R.Munkres, Topology: a first course. Englewood Cliffs, New Jersey 1975.

  15. H. H.Schaefer, Topological vector spaces. Berlin-Heidelberg-New York 1971.

  16. F. A.Valentine, Convex sets. New York 1964.

Download references

Author information

Author notes

  1. J. Cel

    Present address: , Warszawska 24b/56, 26-200, Końskie, Poland

Authors and Affiliations

    Authors
    1. J. Cel
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Herrn Professor Dr. Wilhelm Stoll zum 70. Geburtstag gewidmet

    The author is with the Mathematical Institute of the Polish Academy of Sciences.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Cel, J. Infinite-dimensional Krasnosel'skii-type criteria for cones. Arch. Math 61, 478–483 (1993). https://doi.org/10.1007/BF01207547

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01207547

    Search

    Navigation