%0 Journal Article
%T Riesz representation theorem on generalized n-inner product spaces
%A P. Astuti
%J International Journal of Mathematical Analysis
%D 2013
%I 
%X In this paper we develop a generalization of Riesz representationtheorem on generalized n-inner product spaces. We show that any alternatingn-linear functional on a finitely generated standard generalizedn-inner product space can be represented by a finite number ofn-tuples of vectors. The proof of the theorem utilizes an inner producton a quotient tensor product space induced by the generalized n-innerproduct.
%K Riesz representation theorem
%K inner products
%K generalized n-inner products
%K n-linear functional
%K alternating
%K tensor products
%U http://www.m-hikari.com/ijma/ijma-2013/ijma-17-20-2013/astutiIJMA17-20-2013.pdf