ON n-BOUNDED AND n-CONTINUOUS OPERATOR IN n-NORMED SPACE
Abstract: In this paper, the
concepts of bounded and continuous n-linear operators in n-normed space are
discussed. The notions of n-bounded and n-continuous linear operators are then
introduced as an extension. This is a generalization of theconcepts introduced
in [9] and [3]. In addition, the properties of the corresponding spaces of
operators are studied to obtain results analogous to the case of normed space.
Finally, a sufficient condition for each corresponding space of operators to be
a Banach space is given.
Author: Agus L. Soenjaya
Journal Code: jpmatematikagg120013
