Journal of Inequalities and Applications 
Volume 2 (1998), Issue 4, Pages 381-386
doi:10.1155/S1025583498000241

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

Abstract

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.