On n-norms and bounded n-linear functionals in a hilbert space
Gozali S.M.a,b, Gunawan H.a, Neswan O.a
a Department of Mathematics, Bandung Institute of Technology, Indonesia
b Department of Mathematics Education, Indonesia University of Education, Indonesia
Abstract
In this paper we discuss the concept of n-normed spaces. In particular, we show the equality of four different formulas of n-norms in a Hilbert space. In addition, we study the notion of bounded n-linear functionals on an n-normed space and present some results on it. © 2010, Duke University Press. All rights reserved.
Author keywords
Indexed keywords
Bounded n-linear functional,N-normed space