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

Katerina Anevska, Risto Maleski

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

How to Cite?: Katerina Anevska, Risto Maleski, "Characterization of 2-Inner Product Using Euler-Lagrange Type of Equality ", Volume 3 Issue 6, June 2014, International Journal of Science and Research (IJSR), Pages: 1220-1222, https://www.ijsr.net/getabstract.php?paperid=2014424, DOI: https://dx.doi.org/10.21275/2014424