대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제41권4호
  • /
  • Pages.739-777
  • /
  • 2004
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2004.11.01
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초록

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.

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참고문헌

  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