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ON GRAM′S DETERMINANT IN n-INNER PRODUCT SPACES

  • Cho, Y.J. ;
  • Matic, M. ;
  • Pecaric, J.
  • Published : 2004.11.01

Abstract

An analogue of the Gram's inequality for n-inner product spaces is given. Further, a number of inequalities involving Gram's determinant are stated and proved in terms of n-inner products.

Keywords

2-inner product;Gram′s determinant;Gram′s inequality

References

  1. Y. J. Cho, Paul C. S. Lin, S. S. Kim and A. Misiak, Theory of 2-Inner Product Spaces, Nova Science Publishers, Inc., New York, USA (2001)
  2. S. Kurepa, $Kona{\u{c}}nodimenzionalni$ vektorski prostori i primjene, Tehnicka knjiga, Zagreb, 1967
  3. D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993