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J. Korean Math. Soc. 2001; 38(6): 1125-1156

Printed November 1, 2001

Copyright © The Korean Mathematical Society.

On Gram's determinant in $2$-inner product spaces

Y. J. Cho, M. Matic, and J. Pe caric

Gyeongsang National University, University of Split, University of Zagreb

Abstract

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An analogue of Gram’s inequality for 2-inner product spaces is given. Further, a number of inequalities involving Gram’s determinant are stated and proved in terms of 2-inner products.

Keywords: 2-inner product, Gram’s determinant, Gram’s inequality

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