Journal of Inequalities and Applications
Volume 2 (1998), Issue 4, Pages 381-386

Generalized Gram–Hadamard inequality

Florin Constantinescu1 and Günter Scharf2

1Fachbereich Mathematik, Johann Wolfgang Goethe Universität Frankfurt, Robert-Mayer-Str. 10, Frankfurt am Main D-60054, Germany
2Institut für Theoretische Physik, Universität Zürich, Winterthurerstr. 190, Zürich CH-8057, Switzerland

Received 31 October 1997; Revised 8 June 1998

Copyright © 1998 Florin Constantinescu and Günter Scharf. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We generalize the classical Gram determinant inequality. Our generalization follows from the boundedness of the antisymmetric tensor product operator. We use fermionic Fock space methods.