NEW CHARACTERIZATION OF 2-PRE-HILBERT SPACE

Authors

  • Samoil Malčeski Centre for research and development of education, Skopje, Macedonia Author
  • Katerina Anevska American University of Europe image/svg+xml Author
  • Risto Malčeski American University of Europe image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil14100035m

Keywords:

2-norm, 2-inner product, parallelepiped equality

Abstract

The problem of finding necessary and sufficient conditions a 2-normed space to be treated as 2-pre-Hilbert space is the focus of interest of many mathematicians. Few characterizations of 2-inner product are given in [1], [3], [5], [6], [8] and [9]. In this paper a new necessary and sufficient condition for existence of 2-inner product into 2-normed space is given.

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Published

2014-01-01

Issue

Vol. 38 No. 1 (2014): 38 (LXIV) 1 (2014)

Section

Articles

License

Copyright (c) 2014 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. Malčeski, K. Anevska, and R. Malčeski, “NEW CHARACTERIZATION OF 2-PRE-HILBERT SPACE”, Mat. Bilt., vol. 38, no. 1, pp. 35–43, Jan. 2014, doi: 10.37560/matbil14100035m.