Skip to main content
Log in

Klee Theorem for Linearly Convex Sets

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We prove a complex analog of the classical Klee theorem for strongly linearly convex closed sets.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Yu. B. Zelinskii, Many-Valued Mappings in Analysis [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  2. K. Lekhveits, Convex Sets [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  3. Yu. B. Zelinskii, “On complex hulls,” in: Abstracts of All-Union Conf. “Lavrent'ev Readings on Mathematics, Mechanics, and Physics,” [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1985), pp. 95–97.

    Google Scholar 

  4. Yu. B. Zelinskii, “Caratheodory theorem for linearly convex sets,” in: Proceeding of 6th Intern. Symp. “Classical Analysis”, World Sci., London (1992), pp. 122–124.

  5. I. V. Momot, “On linearly convex sets with smooth boundary,” in Proceeding of Intern. Conf. on Complex Analysis and Potential Theory [in Russian], (Kiev, August, 7–12), Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (2001), pp. 78–79.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Momot, I.V. Klee Theorem for Linearly Convex Sets. Ukrainian Mathematical Journal 54, 2075–2079 (2002). https://doi.org/10.1023/A:1024041819083

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024041819083

Keywords

Navigation