# ON GRAM′S DETERMINANT IN n-INNER PRODUCT SPACES

• Cho, Y.J. (Department of Mathematics Education, The Research Institute of Natural Sciences, College of Education, Gyeongsang National University) ;
• Matic, M. (Department of Mathematics, University of Split) ;
• Pecaric, J. (Faculty of Textile Technology, University of Zagreb)
• 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.

#### 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