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Research Paper | Mathematics | Macedonia | Volume 3 Issue 6, June 2014

Characterization of 2-Inner Product Using Euler-Lagrange Type of Equality

Katerina Anevska ^[4] | Risto Maleski ^[4]

Abstract: Problem of necessary and sufficient conditions for 2-normed space be 2-pre-Hilbert space is focus of interest of many mathematicians. Some of the characterizations of a 2-inner product may be found in [2]; [4] and [5]. In this paper; its given necessary and sufficient condition for the existing of 2-inner product into 2-normed space (L; ||; || using the Euler-Lagrange type of equality and also is given generalization of this characteristic.

Keywords: 2-inner product, Euler-Lagrange type equality, 2-pre-Hilbert space

Edition: Volume 3 Issue 6, June 2014,

Pages: 1220 - 1222