Communications in Mathematical Analysis
  • Year: 2006
  • Volume: 1
  • Issue: 2

Hahn-Banach Theorem in Generalized 2-Normed Spaces

  • Author:
  • Zofia Lewandowska1,, Mohammad Sal Moslehian2,, Assieh Saadatpour Moghaddam3,
  • Total Page Count: 5
  • Page Number: 109 to 113

1Department of Mathematics, Pedagogical University, Arciszewskiego 22 b, Pl-76-200 Slupsk, Poland.

2Department of Mathematics, Ferdowsi University, P. O. Box 1159, Mashhad 91775, Iran; Centre of Excellence in Analysis on Algebraic Structures (CEAAS).

3Department of Mathematics, Ferdowsi University, P. O. Box 1159, Mashhad 91775, Iran; Banach Mathematical Research Group (BMRG), Mashhad, Iran.

*E-mail: Lewandowscy@rene.com.pl

**E-mail: moslehian@ferdowsi.um.ac.ir

***E-mail: as_saadatpour@yahoo.com

(Communicated by Sever Dragomir)

Abstract

In this paper we prove an extension Hahn-Banach theorem in the context of generalized 2-normed spaces.

Keywords

Generalized 2-norm, bounded 2-linear operator, Hahn-Banach theorem