158
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On some consequences of Mazur–Orlicz theorem to Hahn–Banach–Lagrange theorem

, ORCID Icon, &
Pages 1005-1015 | Received 07 Sep 2015, Accepted 05 Feb 2017, Published online: 23 Feb 2017

References

  • Simons S . From Hahn--Banach to monotonicity. Vol. 1693, Lecture notes in mathematics, Berlin: Springer; 2008.
  • Simons S . A new version of the Hahn--Banach theorem. Arch Math. 2003;80:630–646.
  • Simons S . Hahn-Banach theorem and maximal monotonicity. In: Giannesi F , Maugeri A , editors. Variational analysis and applications. Dotrecht: Kluwer Academic Publishers; 2014. p. 1049–1083.
  • Simons S . The Hahn--Banach--Lagrange theorem. Optimization. 2007;56:149–169.
  • Grzybowski J , Przybycień H , Urbański R . On Simons’ version of Hahn-Banach-Lagrange theorem. Funct Spaces X Banach Center Publ. 2014;102:99–104.
  • Mazur S , Orlicz W . Sur les espaces métriques linéaires II [Metric linear spaces II]. Studia Math. 1953;13:137–179.
  • Pták V . On a theorem of Mazur and Orlicz. Studia Math. 1956;15:365–366.
  • Alexiewicz A . Functional analysis. Warszawa: Polish Scientific Publishers (PWN); 1969.
  • Mazur S . Über konvexe Mengen in linearen normierten Räumen [Convex sets in normed linear spaces]. Studia Math. 1933;4:70–84.
  • Banach S . Sur les fonctionnelles linéaires II [Linear functionals II]. Studia Math. 1929;1:223–239.
  • Rudin W . Functional analysis. New York (NY): McGraw-Hill Book Company; 1973.
  • Neumann MM . On the Mazur--Orlicz theorem. Czech Math J. 1991;41:104–109.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.